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Finding the Fourth Proportional to 180,712.60, 249,384.85 and 100,141.47

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Solution

The fourth proportional to 180,712.60, 249,384.85 and 100,141.47 is: 138,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,712.60 : 249,384.85 = 100,141.47 : x
  2. Step 2: Convert to fraction form
    180,712.60/249,384.85 = 100,141.47/x
  3. Step 3: Cross multiply
    180,712.60x = 249,384.85 × 100,141.47
  4. Step 4: Simplify right side
    180,712.60x = 24,973,765,224.38
  5. Step 5: Solve for x
    x = 24,973,765,224.38/180,712.60
  6. Step 6: Final answer
    x = 138,196.04

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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.