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Finding the Fourth Proportional to 180,902.70, 249,647.13 and 100,325.70

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Solution

The fourth proportional to 180,902.70, 249,647.13 and 100,325.70 is: 138,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.70 : 249,647.13 = 100,325.70 : x
  2. Step 2: Convert to fraction form
    180,902.70/249,647.13 = 100,325.70/x
  3. Step 3: Cross multiply
    180,902.70x = 249,647.13 × 100,325.70
  4. Step 4: Simplify right side
    180,902.70x = 25,046,023,070.24
  5. Step 5: Solve for x
    x = 25,046,023,070.24/180,902.70
  6. Step 6: Final answer
    x = 138,450.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.