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Finding the Fourth Proportional to 95,595.84, 142,587 and 83,016.96

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Solution

The fourth proportional to 95,595.84, 142,587 and 83,016.96 is: 123,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,595.84 : 142,587 = 83,016.96 : x
  2. Step 2: Convert to fraction form
    95,595.84/142,587 = 83,016.96/x
  3. Step 3: Cross multiply
    95,595.84x = 142,587 × 83,016.96
  4. Step 4: Simplify right side
    95,595.84x = 11,837,139,275.52
  5. Step 5: Solve for x
    x = 11,837,139,275.52/95,595.84
  6. Step 6: Final answer
    x = 123,824.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.