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Finding the Fourth Proportional to 114,120.52, 157,438.02 and 76,406.92

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Solution

The fourth proportional to 114,120.52, 157,438.02 and 76,406.92 is: 105,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,120.52 : 157,438.02 = 76,406.92 : x
  2. Step 2: Convert to fraction form
    114,120.52/157,438.02 = 76,406.92/x
  3. Step 3: Cross multiply
    114,120.52x = 157,438.02 × 76,406.92
  4. Step 4: Simplify right side
    114,120.52x = 12,029,354,199.10
  5. Step 5: Solve for x
    x = 12,029,354,199.10/114,120.52
  6. Step 6: Final answer
    x = 105,409.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.