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Finding the Fourth Proportional to 153,782.40, 230,500.80 and 78,873.60

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Solution

The fourth proportional to 153,782.40, 230,500.80 and 78,873.60 is: 118,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,782.40 : 230,500.80 = 78,873.60 : x
  2. Step 2: Convert to fraction form
    153,782.40/230,500.80 = 78,873.60/x
  3. Step 3: Cross multiply
    153,782.40x = 230,500.80 × 78,873.60
  4. Step 4: Simplify right side
    153,782.40x = 18,180,427,898.88
  5. Step 5: Solve for x
    x = 18,180,427,898.88/153,782.40
  6. Step 6: Final answer
    x = 118,221.77

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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.