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Finding the Fourth Proportional to 410,040.30, 615,060.45 and 144,101.10

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Solution

The fourth proportional to 410,040.30, 615,060.45 and 144,101.10 is: 216,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,040.30 : 615,060.45 = 144,101.10 : x
  2. Step 2: Convert to fraction form
    410,040.30/615,060.45 = 144,101.10/x
  3. Step 3: Cross multiply
    410,040.30x = 615,060.45 × 144,101.10
  4. Step 4: Simplify right side
    410,040.30x = 88,630,887,411.50
  5. Step 5: Solve for x
    x = 88,630,887,411.50/410,040.30
  6. Step 6: Final answer
    x = 216,151.65

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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.