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Finding the Fourth Proportional to 257,100.40, 385,535.40 and 99,276.40

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Solution

The fourth proportional to 257,100.40, 385,535.40 and 99,276.40 is: 148,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,100.40 : 385,535.40 = 99,276.40 : x
  2. Step 2: Convert to fraction form
    257,100.40/385,535.40 = 99,276.40/x
  3. Step 3: Cross multiply
    257,100.40x = 385,535.40 × 99,276.40
  4. Step 4: Simplify right side
    257,100.40x = 38,274,566,584.56
  5. Step 5: Solve for x
    x = 38,274,566,584.56/257,100.40
  6. Step 6: Final answer
    x = 148,870.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.