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Finding the Fourth Proportional to 180,586.44, 249,210.12 and 100,012.27

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Solution

The fourth proportional to 180,586.44, 249,210.12 and 100,012.27 is: 138,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,586.44 : 249,210.12 = 100,012.27 : x
  2. Step 2: Convert to fraction form
    180,586.44/249,210.12 = 100,012.27/x
  3. Step 3: Cross multiply
    180,586.44x = 249,210.12 × 100,012.27
  4. Step 4: Simplify right side
    180,586.44x = 24,924,069,808.17
  5. Step 5: Solve for x
    x = 24,924,069,808.17/180,586.44
  6. Step 6: Final answer
    x = 138,017.39

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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.