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Finding the Fourth Proportional to 142,001.38, 195,960.81 and 78,341.86

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Solution

The fourth proportional to 142,001.38, 195,960.81 and 78,341.86 is: 108,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,001.38 : 195,960.81 = 78,341.86 : x
  2. Step 2: Convert to fraction form
    142,001.38/195,960.81 = 78,341.86/x
  3. Step 3: Cross multiply
    142,001.38x = 195,960.81 × 78,341.86
  4. Step 4: Simplify right side
    142,001.38x = 15,351,934,342.51
  5. Step 5: Solve for x
    x = 15,351,934,342.51/142,001.38
  6. Step 6: Final answer
    x = 108,111.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.