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Finding the Fourth Proportional to 520,098.60, 780,147.90 and 146,121.60

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Solution

The fourth proportional to 520,098.60, 780,147.90 and 146,121.60 is: 219,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.60 : 780,147.90 = 146,121.60 : x
  2. Step 2: Convert to fraction form
    520,098.60/780,147.90 = 146,121.60/x
  3. Step 3: Cross multiply
    520,098.60x = 780,147.90 × 146,121.60
  4. Step 4: Simplify right side
    520,098.60x = 113,996,459,384.64
  5. Step 5: Solve for x
    x = 113,996,459,384.64/520,098.60
  6. Step 6: Final answer
    x = 219,182.40

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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.