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Finding the Fourth Proportional to 102,370.76, 141,223.36 and 59,903

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Solution

The fourth proportional to 102,370.76, 141,223.36 and 59,903 is: 82,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,370.76 : 141,223.36 = 59,903 : x
  2. Step 2: Convert to fraction form
    102,370.76/141,223.36 = 59,903/x
  3. Step 3: Cross multiply
    102,370.76x = 141,223.36 × 59,903
  4. Step 4: Simplify right side
    102,370.76x = 8,459,702,934.08
  5. Step 5: Solve for x
    x = 8,459,702,934.08/102,370.76
  6. Step 6: Final answer
    x = 82,637.88

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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.