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Finding the Fourth Proportional to 259,300.13, 357,834.20 and 140,068.13

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Solution

The fourth proportional to 259,300.13, 357,834.20 and 140,068.13 is: 193,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,300.13 : 357,834.20 = 140,068.13 : x
  2. Step 2: Convert to fraction form
    259,300.13/357,834.20 = 140,068.13/x
  3. Step 3: Cross multiply
    259,300.13x = 357,834.20 × 140,068.13
  4. Step 4: Simplify right side
    259,300.13x = 50,121,164,754.53
  5. Step 5: Solve for x
    x = 50,121,164,754.53/259,300.13
  6. Step 6: Final answer
    x = 193,294.02

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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.