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Finding the Fourth Proportional to 266,417.66, 399,366.75 and 106,445.90

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Solution

The fourth proportional to 266,417.66, 399,366.75 and 106,445.90 is: 159,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,417.66 : 399,366.75 = 106,445.90 : x
  2. Step 2: Convert to fraction form
    266,417.66/399,366.75 = 106,445.90/x
  3. Step 3: Cross multiply
    266,417.66x = 399,366.75 × 106,445.90
  4. Step 4: Simplify right side
    266,417.66x = 42,510,953,133.83
  5. Step 5: Solve for x
    x = 42,510,953,133.83/266,417.66
  6. Step 6: Final answer
    x = 159,565.07

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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.