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Finding the Fourth Proportional to 118,842.72, 164,004.24 and 65,126.58

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Solution

The fourth proportional to 118,842.72, 164,004.24 and 65,126.58 is: 89,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,842.72 : 164,004.24 = 65,126.58 : x
  2. Step 2: Convert to fraction form
    118,842.72/164,004.24 = 65,126.58/x
  3. Step 3: Cross multiply
    118,842.72x = 164,004.24 × 65,126.58
  4. Step 4: Simplify right side
    118,842.72x = 10,681,034,683.87
  5. Step 5: Solve for x
    x = 10,681,034,683.87/118,842.72
  6. Step 6: Final answer
    x = 89,875.38

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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.