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Finding the Fourth Proportional to 151,951.68, 209,692.80 and 83,966.76

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Solution

The fourth proportional to 151,951.68, 209,692.80 and 83,966.76 is: 115,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,951.68 : 209,692.80 = 83,966.76 : x
  2. Step 2: Convert to fraction form
    151,951.68/209,692.80 = 83,966.76/x
  3. Step 3: Cross multiply
    151,951.68x = 209,692.80 × 83,966.76
  4. Step 4: Simplify right side
    151,951.68x = 17,607,225,011.33
  5. Step 5: Solve for x
    x = 17,607,225,011.33/151,951.68
  6. Step 6: Final answer
    x = 115,873.84

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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.