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Finding the Fourth Proportional to 103,428.78, 142,721.64 and 58,096.50

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Solution

The fourth proportional to 103,428.78, 142,721.64 and 58,096.50 is: 80,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428.78 : 142,721.64 = 58,096.50 : x
  2. Step 2: Convert to fraction form
    103,428.78/142,721.64 = 58,096.50/x
  3. Step 3: Cross multiply
    103,428.78x = 142,721.64 × 58,096.50
  4. Step 4: Simplify right side
    103,428.78x = 8,291,627,758.26
  5. Step 5: Solve for x
    x = 8,291,627,758.26/103,428.78
  6. Step 6: Final answer
    x = 80,167.51

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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.