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Finding the Fourth Proportional to 153,930.29, 212,421.77 and 85,948.42

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Solution

The fourth proportional to 153,930.29, 212,421.77 and 85,948.42 is: 118,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.29 : 212,421.77 = 85,948.42 : x
  2. Step 2: Convert to fraction form
    153,930.29/212,421.77 = 85,948.42/x
  3. Step 3: Cross multiply
    153,930.29x = 212,421.77 × 85,948.42
  4. Step 4: Simplify right side
    153,930.29x = 18,257,315,505.10
  5. Step 5: Solve for x
    x = 18,257,315,505.10/153,930.29
  6. Step 6: Final answer
    x = 118,607.69

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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.