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Finding the Fourth Proportional to 255,697.46, 352,862.01 and 140,975.30

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Solution

The fourth proportional to 255,697.46, 352,862.01 and 140,975.30 is: 194,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,697.46 : 352,862.01 = 140,975.30 : x
  2. Step 2: Convert to fraction form
    255,697.46/352,862.01 = 140,975.30/x
  3. Step 3: Cross multiply
    255,697.46x = 352,862.01 × 140,975.30
  4. Step 4: Simplify right side
    255,697.46x = 49,744,827,508.36
  5. Step 5: Solve for x
    x = 49,744,827,508.36/255,697.46
  6. Step 6: Final answer
    x = 194,545.65

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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.