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Finding the Fourth Proportional to 257,544.60, 386,345.70 and 80,050.20

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Solution

The fourth proportional to 257,544.60, 386,345.70 and 80,050.20 is: 120,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,544.60 : 386,345.70 = 80,050.20 : x
  2. Step 2: Convert to fraction form
    257,544.60/386,345.70 = 80,050.20/x
  3. Step 3: Cross multiply
    257,544.60x = 386,345.70 × 80,050.20
  4. Step 4: Simplify right side
    257,544.60x = 30,927,050,554.14
  5. Step 5: Solve for x
    x = 30,927,050,554.14/257,544.60
  6. Step 6: Final answer
    x = 120,084.25

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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.