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Finding the Fourth Proportional to 102,333.61, 141,224.74 and 57,011.57

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Solution

The fourth proportional to 102,333.61, 141,224.74 and 57,011.57 is: 78,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,333.61 : 141,224.74 = 57,011.57 : x
  2. Step 2: Convert to fraction form
    102,333.61/141,224.74 = 57,011.57/x
  3. Step 3: Cross multiply
    102,333.61x = 141,224.74 × 57,011.57
  4. Step 4: Simplify right side
    102,333.61x = 8,051,443,301.59
  5. Step 5: Solve for x
    x = 8,051,443,301.59/102,333.61
  6. Step 6: Final answer
    x = 78,678.39

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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.