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Finding the Fourth Proportional to 114,387, 157,854.06 and 69,675

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Solution

The fourth proportional to 114,387, 157,854.06 and 69,675 is: 96,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,387 : 157,854.06 = 69,675 : x
  2. Step 2: Convert to fraction form
    114,387/157,854.06 = 69,675/x
  3. Step 3: Cross multiply
    114,387x = 157,854.06 × 69,675
  4. Step 4: Simplify right side
    114,387x = 10,998,481,630.50
  5. Step 5: Solve for x
    x = 10,998,481,630.50/114,387
  6. Step 6: Final answer
    x = 96,151.50

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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.