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Finding the Fourth Proportional to 257,225.40, 385,607.70 and 168,521.40

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Solution

The fourth proportional to 257,225.40, 385,607.70 and 168,521.40 is: 252,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,225.40 : 385,607.70 = 168,521.40 : x
  2. Step 2: Convert to fraction form
    257,225.40/385,607.70 = 168,521.40/x
  3. Step 3: Cross multiply
    257,225.40x = 385,607.70 × 168,521.40
  4. Step 4: Simplify right side
    257,225.40x = 64,983,149,454.78
  5. Step 5: Solve for x
    x = 64,983,149,454.78/257,225.40
  6. Step 6: Final answer
    x = 252,631.15

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