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Finding the Fourth Proportional to 101,178.17, 151,767.86 and 45,005.08

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Solution

The fourth proportional to 101,178.17, 151,767.86 and 45,005.08 is: 67,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178.17 : 151,767.86 = 45,005.08 : x
  2. Step 2: Convert to fraction form
    101,178.17/151,767.86 = 45,005.08/x
  3. Step 3: Cross multiply
    101,178.17x = 151,767.86 × 45,005.08
  4. Step 4: Simplify right side
    101,178.17x = 6,830,323,921.89
  5. Step 5: Solve for x
    x = 6,830,323,921.89/101,178.17
  6. Step 6: Final answer
    x = 67,507.88

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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.