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Finding the Fourth Proportional to 114,008.36, 157,353.18 and 75,177.84

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Solution

The fourth proportional to 114,008.36, 157,353.18 and 75,177.84 is: 103,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,008.36 : 157,353.18 = 75,177.84 : x
  2. Step 2: Convert to fraction form
    114,008.36/157,353.18 = 75,177.84/x
  3. Step 3: Cross multiply
    114,008.36x = 157,353.18 × 75,177.84
  4. Step 4: Simplify right side
    114,008.36x = 11,829,472,189.53
  5. Step 5: Solve for x
    x = 11,829,472,189.53/114,008.36
  6. Step 6: Final answer
    x = 103,759.69

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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.