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Finding the Fourth Proportional to 141,884.93, 195,802.55 and 78,225

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Solution

The fourth proportional to 141,884.93, 195,802.55 and 78,225 is: 107,951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,884.93 : 195,802.55 = 78,225 : x
  2. Step 2: Convert to fraction form
    141,884.93/195,802.55 = 78,225/x
  3. Step 3: Cross multiply
    141,884.93x = 195,802.55 × 78,225
  4. Step 4: Simplify right side
    141,884.93x = 15,316,654,082.63
  5. Step 5: Solve for x
    x = 15,316,654,082.63/141,884.93
  6. Step 6: Final answer
    x = 107,951.24

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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.