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Finding the Fourth Proportional to 376,123.82, 564,326.18 and 151,547.97

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Solution

The fourth proportional to 376,123.82, 564,326.18 and 151,547.97 is: 227,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,123.82 : 564,326.18 = 151,547.97 : x
  2. Step 2: Convert to fraction form
    376,123.82/564,326.18 = 151,547.97/x
  3. Step 3: Cross multiply
    376,123.82x = 564,326.18 × 151,547.97
  4. Step 4: Simplify right side
    376,123.82x = 85,522,484,122.89
  5. Step 5: Solve for x
    x = 85,522,484,122.89/376,123.82
  6. Step 6: Final answer
    x = 227,378.54

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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.