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Finding the Fourth Proportional to 118,320, 177,505.92 and 44,448

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Solution

The fourth proportional to 118,320, 177,505.92 and 44,448 is: 66,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,320 : 177,505.92 = 44,448 : x
  2. Step 2: Convert to fraction form
    118,320/177,505.92 = 44,448/x
  3. Step 3: Cross multiply
    118,320x = 177,505.92 × 44,448
  4. Step 4: Simplify right side
    118,320x = 7,889,783,132.16
  5. Step 5: Solve for x
    x = 7,889,783,132.16/118,320
  6. Step 6: Final answer
    x = 66,681.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.