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Finding the Fourth Proportional to 102,130.60, 140,938.19 and 56,807.62

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Solution

The fourth proportional to 102,130.60, 140,938.19 and 56,807.62 is: 78,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.60 : 140,938.19 = 56,807.62 : x
  2. Step 2: Convert to fraction form
    102,130.60/140,938.19 = 56,807.62/x
  3. Step 3: Cross multiply
    102,130.60x = 140,938.19 × 56,807.62
  4. Step 4: Simplify right side
    102,130.60x = 8,006,363,141.01
  5. Step 5: Solve for x
    x = 8,006,363,141.01/102,130.60
  6. Step 6: Final answer
    x = 78,393.38

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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.