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Finding the Fourth Proportional to 204,572.32, 282,302.16 and 113,932

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Solution

The fourth proportional to 204,572.32, 282,302.16 and 113,932 is: 157,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,572.32 : 282,302.16 = 113,932 : x
  2. Step 2: Convert to fraction form
    204,572.32/282,302.16 = 113,932/x
  3. Step 3: Cross multiply
    204,572.32x = 282,302.16 × 113,932
  4. Step 4: Simplify right side
    204,572.32x = 32,163,249,693.12
  5. Step 5: Solve for x
    x = 32,163,249,693.12/204,572.32
  6. Step 6: Final answer
    x = 157,221.90

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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.