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Finding the Fourth Proportional to 151,254.81, 208,723.52 and 83,258.55

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Solution

The fourth proportional to 151,254.81, 208,723.52 and 83,258.55 is: 114,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,254.81 : 208,723.52 = 83,258.55 : x
  2. Step 2: Convert to fraction form
    151,254.81/208,723.52 = 83,258.55/x
  3. Step 3: Cross multiply
    151,254.81x = 208,723.52 × 83,258.55
  4. Step 4: Simplify right side
    151,254.81x = 17,378,017,209.80
  5. Step 5: Solve for x
    x = 17,378,017,209.80/151,254.81
  6. Step 6: Final answer
    x = 114,892.33

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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.