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Finding the Fourth Proportional to 141,806.40, 212,709.60 and 138,307.20

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Solution

The fourth proportional to 141,806.40, 212,709.60 and 138,307.20 is: 207,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,806.40 : 212,709.60 = 138,307.20 : x
  2. Step 2: Convert to fraction form
    141,806.40/212,709.60 = 138,307.20/x
  3. Step 3: Cross multiply
    141,806.40x = 212,709.60 × 138,307.20
  4. Step 4: Simplify right side
    141,806.40x = 29,419,269,189.12
  5. Step 5: Solve for x
    x = 29,419,269,189.12/141,806.40
  6. Step 6: Final answer
    x = 207,460.80

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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.