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Finding the Fourth Proportional to 102,855.38, 141,883.29 and 59,830.01

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Solution

The fourth proportional to 102,855.38, 141,883.29 and 59,830.01 is: 82,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.38 : 141,883.29 = 59,830.01 : x
  2. Step 2: Convert to fraction form
    102,855.38/141,883.29 = 59,830.01/x
  3. Step 3: Cross multiply
    102,855.38x = 141,883.29 × 59,830.01
  4. Step 4: Simplify right side
    102,855.38x = 8,488,878,659.53
  5. Step 5: Solve for x
    x = 8,488,878,659.53/102,855.38
  6. Step 6: Final answer
    x = 82,532.18

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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.