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Finding the Fourth Proportional to 153,851.96, 212,326.35 and 85,882.14

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Solution

The fourth proportional to 153,851.96, 212,326.35 and 85,882.14 is: 118,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,851.96 : 212,326.35 = 85,882.14 : x
  2. Step 2: Convert to fraction form
    153,851.96/212,326.35 = 85,882.14/x
  3. Step 3: Cross multiply
    153,851.96x = 212,326.35 × 85,882.14
  4. Step 4: Simplify right side
    153,851.96x = 18,235,041,316.39
  5. Step 5: Solve for x
    x = 18,235,041,316.39/153,851.96
  6. Step 6: Final answer
    x = 118,523.30

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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.