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Finding the Fourth Proportional to 149,925.32, 206,888.82 and 82,853

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Solution

The fourth proportional to 149,925.32, 206,888.82 and 82,853 is: 114,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,925.32 : 206,888.82 = 82,853 : x
  2. Step 2: Convert to fraction form
    149,925.32/206,888.82 = 82,853/x
  3. Step 3: Cross multiply
    149,925.32x = 206,888.82 × 82,853
  4. Step 4: Simplify right side
    149,925.32x = 17,141,359,403.46
  5. Step 5: Solve for x
    x = 17,141,359,403.46/149,925.32
  6. Step 6: Final answer
    x = 114,332.65

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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.