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Finding the Fourth Proportional to 151,000.76, 208,383.38 and 83,020.68

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Solution

The fourth proportional to 151,000.76, 208,383.38 and 83,020.68 is: 114,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,000.76 : 208,383.38 = 83,020.68 : x
  2. Step 2: Convert to fraction form
    151,000.76/208,383.38 = 83,020.68/x
  3. Step 3: Cross multiply
    151,000.76x = 208,383.38 × 83,020.68
  4. Step 4: Simplify right side
    151,000.76x = 17,300,129,908.30
  5. Step 5: Solve for x
    x = 17,300,129,908.30/151,000.76
  6. Step 6: Final answer
    x = 114,569.82

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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.