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Finding the Fourth Proportional to 152,053.20, 228,079.80 and 148,165.20

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Solution

The fourth proportional to 152,053.20, 228,079.80 and 148,165.20 is: 222,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.20 : 228,079.80 = 148,165.20 : x
  2. Step 2: Convert to fraction form
    152,053.20/228,079.80 = 148,165.20/x
  3. Step 3: Cross multiply
    152,053.20x = 228,079.80 × 148,165.20
  4. Step 4: Simplify right side
    152,053.20x = 33,793,489,182.96
  5. Step 5: Solve for x
    x = 33,793,489,182.96/152,053.20
  6. Step 6: Final answer
    x = 222,247.80

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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.