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Finding the Fourth Proportional to 141,588, 195,389.10 and 77,924.52

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Solution

The fourth proportional to 141,588, 195,389.10 and 77,924.52 is: 107,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,588 : 195,389.10 = 77,924.52 : x
  2. Step 2: Convert to fraction form
    141,588/195,389.10 = 77,924.52/x
  3. Step 3: Cross multiply
    141,588x = 195,389.10 × 77,924.52
  4. Step 4: Simplify right side
    141,588x = 15,225,601,830.73
  5. Step 5: Solve for x
    x = 15,225,601,830.73/141,588
  6. Step 6: Final answer
    x = 107,534.55

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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.