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Finding the Fourth Proportional to 102,750.66, 141,778.59 and 57,429.03

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Solution

The fourth proportional to 102,750.66, 141,778.59 and 57,429.03 is: 79,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,750.66 : 141,778.59 = 57,429.03 : x
  2. Step 2: Convert to fraction form
    102,750.66/141,778.59 = 57,429.03/x
  3. Step 3: Cross multiply
    102,750.66x = 141,778.59 × 57,429.03
  4. Step 4: Simplify right side
    102,750.66x = 8,142,207,214.78
  5. Step 5: Solve for x
    x = 8,142,207,214.78/102,750.66
  6. Step 6: Final answer
    x = 79,242.38

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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.