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Finding the Fourth Proportional to 151,944.80, 209,696.08 and 83,967.76

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Solution

The fourth proportional to 151,944.80, 209,696.08 and 83,967.76 is: 115,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,944.80 : 209,696.08 = 83,967.76 : x
  2. Step 2: Convert to fraction form
    151,944.80/209,696.08 = 83,967.76/x
  3. Step 3: Cross multiply
    151,944.80x = 209,696.08 × 83,967.76
  4. Step 4: Simplify right side
    151,944.80x = 17,607,710,118.38
  5. Step 5: Solve for x
    x = 17,607,710,118.38/151,944.80
  6. Step 6: Final answer
    x = 115,882.28

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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.