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Finding the Fourth Proportional to 157,215.60, 235,823.40 and 52,045.20

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Solution

The fourth proportional to 157,215.60, 235,823.40 and 52,045.20 is: 78,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,215.60 : 235,823.40 = 52,045.20 : x
  2. Step 2: Convert to fraction form
    157,215.60/235,823.40 = 52,045.20/x
  3. Step 3: Cross multiply
    157,215.60x = 235,823.40 × 52,045.20
  4. Step 4: Simplify right side
    157,215.60x = 12,273,476,017.68
  5. Step 5: Solve for x
    x = 12,273,476,017.68/157,215.60
  6. Step 6: Final answer
    x = 78,067.80

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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.