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Finding the Fourth Proportional to 375,511.74, 563,200.30 and 105,575.14

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Solution

The fourth proportional to 375,511.74, 563,200.30 and 105,575.14 is: 158,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,511.74 : 563,200.30 = 105,575.14 : x
  2. Step 2: Convert to fraction form
    375,511.74/563,200.30 = 105,575.14/x
  3. Step 3: Cross multiply
    375,511.74x = 563,200.30 × 105,575.14
  4. Step 4: Simplify right side
    375,511.74x = 59,459,947,594.65
  5. Step 5: Solve for x
    x = 59,459,947,594.65/375,511.74
  6. Step 6: Final answer
    x = 158,343.78

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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.