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Finding the Fourth Proportional to 114,380.46, 157,807.17 and 69,041.16

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Solution

The fourth proportional to 114,380.46, 157,807.17 and 69,041.16 is: 95,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,380.46 : 157,807.17 = 69,041.16 : x
  2. Step 2: Convert to fraction form
    114,380.46/157,807.17 = 69,041.16/x
  3. Step 3: Cross multiply
    114,380.46x = 157,807.17 × 69,041.16
  4. Step 4: Simplify right side
    114,380.46x = 10,895,190,073.12
  5. Step 5: Solve for x
    x = 10,895,190,073.12/114,380.46
  6. Step 6: Final answer
    x = 95,253.95

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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.