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Finding the Fourth Proportional to 141,802.47, 195,688.72 and 78,142.54

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Solution

The fourth proportional to 141,802.47, 195,688.72 and 78,142.54 is: 107,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.47 : 195,688.72 = 78,142.54 : x
  2. Step 2: Convert to fraction form
    141,802.47/195,688.72 = 78,142.54/x
  3. Step 3: Cross multiply
    141,802.47x = 195,688.72 × 78,142.54
  4. Step 4: Simplify right side
    141,802.47x = 15,291,613,532.89
  5. Step 5: Solve for x
    x = 15,291,613,532.89/141,802.47
  6. Step 6: Final answer
    x = 107,837.43

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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.