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Finding the Fourth Proportional to 132,402.87, 198,492.35 and 57,466.69

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Solution

The fourth proportional to 132,402.87, 198,492.35 and 57,466.69 is: 86,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,402.87 : 198,492.35 = 57,466.69 : x
  2. Step 2: Convert to fraction form
    132,402.87/198,492.35 = 57,466.69/x
  3. Step 3: Cross multiply
    132,402.87x = 198,492.35 × 57,466.69
  4. Step 4: Simplify right side
    132,402.87x = 11,406,697,561.26
  5. Step 5: Solve for x
    x = 11,406,697,561.26/132,402.87
  6. Step 6: Final answer
    x = 86,151.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.