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Finding the Fourth Proportional to 242,700.29, 334,898.71 and 140,704.48

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Solution

The fourth proportional to 242,700.29, 334,898.71 and 140,704.48 is: 194,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,700.29 : 334,898.71 = 140,704.48 : x
  2. Step 2: Convert to fraction form
    242,700.29/334,898.71 = 140,704.48/x
  3. Step 3: Cross multiply
    242,700.29x = 334,898.71 × 140,704.48
  4. Step 4: Simplify right side
    242,700.29x = 47,121,748,843.22
  5. Step 5: Solve for x
    x = 47,121,748,843.22/242,700.29
  6. Step 6: Final answer
    x = 194,156.13

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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.