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Finding the Fourth Proportional to 157,307.60, 235,961.40 and 113,348.90

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Solution

The fourth proportional to 157,307.60, 235,961.40 and 113,348.90 is: 170,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,307.60 : 235,961.40 = 113,348.90 : x
  2. Step 2: Convert to fraction form
    157,307.60/235,961.40 = 113,348.90/x
  3. Step 3: Cross multiply
    157,307.60x = 235,961.40 × 113,348.90
  4. Step 4: Simplify right side
    157,307.60x = 26,745,965,132.46
  5. Step 5: Solve for x
    x = 26,745,965,132.46/157,307.60
  6. Step 6: Final answer
    x = 170,023.35

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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.