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Finding the Fourth Proportional to 292,241.46, 438,366.52 and 81,866.10

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Solution

The fourth proportional to 292,241.46, 438,366.52 and 81,866.10 is: 122,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,241.46 : 438,366.52 = 81,866.10 : x
  2. Step 2: Convert to fraction form
    292,241.46/438,366.52 = 81,866.10/x
  3. Step 3: Cross multiply
    292,241.46x = 438,366.52 × 81,866.10
  4. Step 4: Simplify right side
    292,241.46x = 35,887,357,362.97
  5. Step 5: Solve for x
    x = 35,887,357,362.97/292,241.46
  6. Step 6: Final answer
    x = 122,800.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.