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Finding the Fourth Proportional to 138,866.98, 191,636.14 and 75,204.58

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Solution

The fourth proportional to 138,866.98, 191,636.14 and 75,204.58 is: 103,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,866.98 : 191,636.14 = 75,204.58 : x
  2. Step 2: Convert to fraction form
    138,866.98/191,636.14 = 75,204.58/x
  3. Step 3: Cross multiply
    138,866.98x = 191,636.14 × 75,204.58
  4. Step 4: Simplify right side
    138,866.98x = 14,411,915,421.52
  5. Step 5: Solve for x
    x = 14,411,915,421.52/138,866.98
  6. Step 6: Final answer
    x = 103,782.16

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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.