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Finding the Fourth Proportional to 101,263.65, 151,899.12 and 38,077.98

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Solution

The fourth proportional to 101,263.65, 151,899.12 and 38,077.98 is: 57,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,263.65 : 151,899.12 = 38,077.98 : x
  2. Step 2: Convert to fraction form
    101,263.65/151,899.12 = 38,077.98/x
  3. Step 3: Cross multiply
    101,263.65x = 151,899.12 × 38,077.98
  4. Step 4: Simplify right side
    101,263.65x = 5,784,011,653.38
  5. Step 5: Solve for x
    x = 5,784,011,653.38/101,263.65
  6. Step 6: Final answer
    x = 57,118.34

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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.