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Finding the Fourth Proportional to 151,882.49, 209,597.00 and 83,904.14

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Solution

The fourth proportional to 151,882.49, 209,597.00 and 83,904.14 is: 115,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,882.49 : 209,597.00 = 83,904.14 : x
  2. Step 2: Convert to fraction form
    151,882.49/209,597.00 = 83,904.14/x
  3. Step 3: Cross multiply
    151,882.49x = 209,597.00 × 83,904.14
  4. Step 4: Simplify right side
    151,882.49x = 17,586,054,564.07
  5. Step 5: Solve for x
    x = 17,586,054,564.07/151,882.49
  6. Step 6: Final answer
    x = 115,787.25

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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.