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Finding the Fourth Proportional to 141,590.84, 195,393.87 and 77,927.27

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Solution

The fourth proportional to 141,590.84, 195,393.87 and 77,927.27 is: 107,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,590.84 : 195,393.87 = 77,927.27 : x
  2. Step 2: Convert to fraction form
    141,590.84/195,393.87 = 77,927.27/x
  3. Step 3: Cross multiply
    141,590.84x = 195,393.87 × 77,927.27
  4. Step 4: Simplify right side
    141,590.84x = 15,226,509,886.87
  5. Step 5: Solve for x
    x = 15,226,509,886.87/141,590.84
  6. Step 6: Final answer
    x = 107,538.81

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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.