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Finding the Fourth Proportional to 114,154.48, 157,522.42 and 77,285.68

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Solution

The fourth proportional to 114,154.48, 157,522.42 and 77,285.68 is: 106,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,154.48 : 157,522.42 = 77,285.68 : x
  2. Step 2: Convert to fraction form
    114,154.48/157,522.42 = 77,285.68/x
  3. Step 3: Cross multiply
    114,154.48x = 157,522.42 × 77,285.68
  4. Step 4: Simplify right side
    114,154.48x = 12,174,227,047.75
  5. Step 5: Solve for x
    x = 12,174,227,047.75/114,154.48
  6. Step 6: Final answer
    x = 106,646.95

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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.