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Finding the Fourth Proportional to 147,322.46, 203,304.96 and 80,254.46

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Solution

The fourth proportional to 147,322.46, 203,304.96 and 80,254.46 is: 110,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,322.46 : 203,304.96 = 80,254.46 : x
  2. Step 2: Convert to fraction form
    147,322.46/203,304.96 = 80,254.46/x
  3. Step 3: Cross multiply
    147,322.46x = 203,304.96 × 80,254.46
  4. Step 4: Simplify right side
    147,322.46x = 16,316,129,780.12
  5. Step 5: Solve for x
    x = 16,316,129,780.12/147,322.46
  6. Step 6: Final answer
    x = 110,751.14

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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.