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Finding the Fourth Proportional to 520,077.10, 780,115.65 and 146,100.10

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Solution

The fourth proportional to 520,077.10, 780,115.65 and 146,100.10 is: 219,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,077.10 : 780,115.65 = 146,100.10 : x
  2. Step 2: Convert to fraction form
    520,077.10/780,115.65 = 146,100.10/x
  3. Step 3: Cross multiply
    520,077.10x = 780,115.65 × 146,100.10
  4. Step 4: Simplify right side
    520,077.10x = 113,974,974,476.57
  5. Step 5: Solve for x
    x = 113,974,974,476.57/520,077.10
  6. Step 6: Final answer
    x = 219,150.15

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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.