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Finding the Fourth Proportional to 78,117.65, 117,176.65 and 28,232.97

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Solution

The fourth proportional to 78,117.65, 117,176.65 and 28,232.97 is: 42,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.65 : 117,176.65 = 28,232.97 : x
  2. Step 2: Convert to fraction form
    78,117.65/117,176.65 = 28,232.97/x
  3. Step 3: Cross multiply
    78,117.65x = 117,176.65 × 28,232.97
  4. Step 4: Simplify right side
    78,117.65x = 3,308,244,773.57
  5. Step 5: Solve for x
    x = 3,308,244,773.57/78,117.65
  6. Step 6: Final answer
    x = 42,349.52

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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.