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Finding the Fourth Proportional to 520,092.30, 780,138.45 and 146,066.70

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Solution

The fourth proportional to 520,092.30, 780,138.45 and 146,066.70 is: 219,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,092.30 : 780,138.45 = 146,066.70 : x
  2. Step 2: Convert to fraction form
    520,092.30/780,138.45 = 146,066.70/x
  3. Step 3: Cross multiply
    520,092.30x = 780,138.45 × 146,066.70
  4. Step 4: Simplify right side
    520,092.30x = 113,952,248,934.62
  5. Step 5: Solve for x
    x = 113,952,248,934.62/520,092.30
  6. Step 6: Final answer
    x = 219,100.05

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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.