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Finding the Fourth Proportional to 152,885.96, 210,959.78 and 85,805

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Solution

The fourth proportional to 152,885.96, 210,959.78 and 85,805 is: 118,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,885.96 : 210,959.78 = 85,805 : x
  2. Step 2: Convert to fraction form
    152,885.96/210,959.78 = 85,805/x
  3. Step 3: Cross multiply
    152,885.96x = 210,959.78 × 85,805
  4. Step 4: Simplify right side
    152,885.96x = 18,101,403,922.90
  5. Step 5: Solve for x
    x = 18,101,403,922.90/152,885.96
  6. Step 6: Final answer
    x = 118,398.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.