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Finding the Fourth Proportional to 152,023.30, 228,034.95 and 147,649.30

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Solution

The fourth proportional to 152,023.30, 228,034.95 and 147,649.30 is: 221,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,023.30 : 228,034.95 = 147,649.30 : x
  2. Step 2: Convert to fraction form
    152,023.30/228,034.95 = 147,649.30/x
  3. Step 3: Cross multiply
    152,023.30x = 228,034.95 × 147,649.30
  4. Step 4: Simplify right side
    152,023.30x = 33,669,200,743.04
  5. Step 5: Solve for x
    x = 33,669,200,743.04/152,023.30
  6. Step 6: Final answer
    x = 221,473.95

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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.