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Finding the Fourth Proportional to 101,414.16, 139,953.96 and 56,095.20

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Solution

The fourth proportional to 101,414.16, 139,953.96 and 56,095.20 is: 77,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.16 : 139,953.96 = 56,095.20 : x
  2. Step 2: Convert to fraction form
    101,414.16/139,953.96 = 56,095.20/x
  3. Step 3: Cross multiply
    101,414.16x = 139,953.96 × 56,095.20
  4. Step 4: Simplify right side
    101,414.16x = 7,850,745,376.99
  5. Step 5: Solve for x
    x = 7,850,745,376.99/101,414.16
  6. Step 6: Final answer
    x = 77,412.71

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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.