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Finding the Fourth Proportional to 102,045.28, 140,824.17 and 56,106.86

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Solution

The fourth proportional to 102,045.28, 140,824.17 and 56,106.86 is: 77,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.28 : 140,824.17 = 56,106.86 : x
  2. Step 2: Convert to fraction form
    102,045.28/140,824.17 = 56,106.86/x
  3. Step 3: Cross multiply
    102,045.28x = 140,824.17 × 56,106.86
  4. Step 4: Simplify right side
    102,045.28x = 7,901,201,973.62
  5. Step 5: Solve for x
    x = 7,901,201,973.62/102,045.28
  6. Step 6: Final answer
    x = 77,428.39

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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.