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Finding the Fourth Proportional to 376,034.52, 564,011.58 and 106,156.02

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Solution

The fourth proportional to 376,034.52, 564,011.58 and 106,156.02 is: 159,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,034.52 : 564,011.58 = 106,156.02 : x
  2. Step 2: Convert to fraction form
    376,034.52/564,011.58 = 106,156.02/x
  3. Step 3: Cross multiply
    376,034.52x = 564,011.58 × 106,156.02
  4. Step 4: Simplify right side
    376,034.52x = 59,873,224,566.71
  5. Step 5: Solve for x
    x = 59,873,224,566.71/376,034.52
  6. Step 6: Final answer
    x = 159,222.68

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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.