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Finding the Fourth Proportional to 251,314.65, 377,038.80 and 109,098.90

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Solution

The fourth proportional to 251,314.65, 377,038.80 and 109,098.90 is: 163,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,314.65 : 377,038.80 = 109,098.90 : x
  2. Step 2: Convert to fraction form
    251,314.65/377,038.80 = 109,098.90/x
  3. Step 3: Cross multiply
    251,314.65x = 377,038.80 × 109,098.90
  4. Step 4: Simplify right side
    251,314.65x = 41,134,518,337.32
  5. Step 5: Solve for x
    x = 41,134,518,337.32/251,314.65
  6. Step 6: Final answer
    x = 163,677.36

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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.