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Finding the Fourth Proportional to 564,098.80, 846,148.20 and 190,082.80

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Solution

The fourth proportional to 564,098.80, 846,148.20 and 190,082.80 is: 285,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,098.80 : 846,148.20 = 190,082.80 : x
  2. Step 2: Convert to fraction form
    564,098.80/846,148.20 = 190,082.80/x
  3. Step 3: Cross multiply
    564,098.80x = 846,148.20 × 190,082.80
  4. Step 4: Simplify right side
    564,098.80x = 160,838,219,070.96
  5. Step 5: Solve for x
    x = 160,838,219,070.96/564,098.80
  6. Step 6: Final answer
    x = 285,124.20

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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.