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Finding the Fourth Proportional to 296,182.30, 444,273.45 and 85,827.10

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Solution

The fourth proportional to 296,182.30, 444,273.45 and 85,827.10 is: 128,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,182.30 : 444,273.45 = 85,827.10 : x
  2. Step 2: Convert to fraction form
    296,182.30/444,273.45 = 85,827.10/x
  3. Step 3: Cross multiply
    296,182.30x = 444,273.45 × 85,827.10
  4. Step 4: Simplify right side
    296,182.30x = 38,130,701,820.50
  5. Step 5: Solve for x
    x = 38,130,701,820.50/296,182.30
  6. Step 6: Final answer
    x = 128,740.65

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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.