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Finding the Fourth Proportional to 141,048.96, 194,656.38 and 77,386.92

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Solution

The fourth proportional to 141,048.96, 194,656.38 and 77,386.92 is: 106,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048.96 : 194,656.38 = 77,386.92 : x
  2. Step 2: Convert to fraction form
    141,048.96/194,656.38 = 77,386.92/x
  3. Step 3: Cross multiply
    141,048.96x = 194,656.38 × 77,386.92
  4. Step 4: Simplify right side
    141,048.96x = 15,063,857,706.55
  5. Step 5: Solve for x
    x = 15,063,857,706.55/141,048.96
  6. Step 6: Final answer
    x = 106,798.79

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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.