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Finding the Fourth Proportional to 134,174.13, 185,322.69 and 97,818

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Solution

The fourth proportional to 134,174.13, 185,322.69 and 97,818 is: 135,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,174.13 : 185,322.69 = 97,818 : x
  2. Step 2: Convert to fraction form
    134,174.13/185,322.69 = 97,818/x
  3. Step 3: Cross multiply
    134,174.13x = 185,322.69 × 97,818
  4. Step 4: Simplify right side
    134,174.13x = 18,127,894,890.42
  5. Step 5: Solve for x
    x = 18,127,894,890.42/134,174.13
  6. Step 6: Final answer
    x = 135,107.23

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