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Finding the Fourth Proportional to 145,144.56, 200,299.47 and 81,482.31

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Solution

The fourth proportional to 145,144.56, 200,299.47 and 81,482.31 is: 112,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144.56 : 200,299.47 = 81,482.31 : x
  2. Step 2: Convert to fraction form
    145,144.56/200,299.47 = 81,482.31/x
  3. Step 3: Cross multiply
    145,144.56x = 200,299.47 × 81,482.31
  4. Step 4: Simplify right side
    145,144.56x = 16,320,863,507.38
  5. Step 5: Solve for x
    x = 16,320,863,507.38/145,144.56
  6. Step 6: Final answer
    x = 112,445.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.