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Finding the Fourth Proportional to 141,590, 195,391.86 and 77,926.52

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Solution

The fourth proportional to 141,590, 195,391.86 and 77,926.52 is: 107,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,590 : 195,391.86 = 77,926.52 : x
  2. Step 2: Convert to fraction form
    141,590/195,391.86 = 77,926.52/x
  3. Step 3: Cross multiply
    141,590x = 195,391.86 × 77,926.52
  4. Step 4: Simplify right side
    141,590x = 15,226,207,686.13
  5. Step 5: Solve for x
    x = 15,226,207,686.13/141,590
  6. Step 6: Final answer
    x = 107,537.31

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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.