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Finding the Fourth Proportional to 180,904, 249,647.58 and 100,343.92

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Solution

The fourth proportional to 180,904, 249,647.58 and 100,343.92 is: 138,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,904 : 249,647.58 = 100,343.92 : x
  2. Step 2: Convert to fraction form
    180,904/249,647.58 = 100,343.92/x
  3. Step 3: Cross multiply
    180,904x = 249,647.58 × 100,343.92
  4. Step 4: Simplify right side
    180,904x = 25,050,616,795.71
  5. Step 5: Solve for x
    x = 25,050,616,795.71/180,904
  6. Step 6: Final answer
    x = 138,474.64

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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.