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Finding the Fourth Proportional to 101,382.53, 151,828.61 and 98,725.32

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Solution

The fourth proportional to 101,382.53, 151,828.61 and 98,725.32 is: 147,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382.53 : 151,828.61 = 98,725.32 : x
  2. Step 2: Convert to fraction form
    101,382.53/151,828.61 = 98,725.32/x
  3. Step 3: Cross multiply
    101,382.53x = 151,828.61 × 98,725.32
  4. Step 4: Simplify right side
    101,382.53x = 14,989,327,613.78
  5. Step 5: Solve for x
    x = 14,989,327,613.78/101,382.53
  6. Step 6: Final answer
    x = 147,849.22

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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.