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Finding the Fourth Proportional to 311,095.20, 466,642.80 and 114,077.60

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Solution

The fourth proportional to 311,095.20, 466,642.80 and 114,077.60 is: 171,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,095.20 : 466,642.80 = 114,077.60 : x
  2. Step 2: Convert to fraction form
    311,095.20/466,642.80 = 114,077.60/x
  3. Step 3: Cross multiply
    311,095.20x = 466,642.80 × 114,077.60
  4. Step 4: Simplify right side
    311,095.20x = 53,233,490,681.28
  5. Step 5: Solve for x
    x = 53,233,490,681.28/311,095.20
  6. Step 6: Final answer
    x = 171,116.40

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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.