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Finding the Fourth Proportional to 107,165.94, 147,897.90 and 59,434.68

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Solution

The fourth proportional to 107,165.94, 147,897.90 and 59,434.68 is: 82,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,165.94 : 147,897.90 = 59,434.68 : x
  2. Step 2: Convert to fraction form
    107,165.94/147,897.90 = 59,434.68/x
  3. Step 3: Cross multiply
    107,165.94x = 147,897.90 × 59,434.68
  4. Step 4: Simplify right side
    107,165.94x = 8,790,264,359.17
  5. Step 5: Solve for x
    x = 8,790,264,359.17/107,165.94
  6. Step 6: Final answer
    x = 82,024.80

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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.