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Finding the Fourth Proportional to 202,165.56, 278,985 and 111,530.22

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Solution

The fourth proportional to 202,165.56, 278,985 and 111,530.22 is: 153,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.56 : 278,985 = 111,530.22 : x
  2. Step 2: Convert to fraction form
    202,165.56/278,985 = 111,530.22/x
  3. Step 3: Cross multiply
    202,165.56x = 278,985 × 111,530.22
  4. Step 4: Simplify right side
    202,165.56x = 31,115,258,426.70
  5. Step 5: Solve for x
    x = 31,115,258,426.70/202,165.56
  6. Step 6: Final answer
    x = 153,909.79

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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.