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Finding the Fourth Proportional to 151,801.88, 209,489.63 and 83,818.98

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Solution

The fourth proportional to 151,801.88, 209,489.63 and 83,818.98 is: 115,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,801.88 : 209,489.63 = 83,818.98 : x
  2. Step 2: Convert to fraction form
    151,801.88/209,489.63 = 83,818.98/x
  3. Step 3: Cross multiply
    151,801.88x = 209,489.63 × 83,818.98
  4. Step 4: Simplify right side
    151,801.88x = 17,559,207,107.18
  5. Step 5: Solve for x
    x = 17,559,207,107.18/151,801.88
  6. Step 6: Final answer
    x = 115,671.87

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1.5x scale

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.