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Finding the Fourth Proportional to 294,803.40, 442,097.10 and 95,176.20

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Solution

The fourth proportional to 294,803.40, 442,097.10 and 95,176.20 is: 142,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,803.40 : 442,097.10 = 95,176.20 : x
  2. Step 2: Convert to fraction form
    294,803.40/442,097.10 = 95,176.20/x
  3. Step 3: Cross multiply
    294,803.40x = 442,097.10 × 95,176.20
  4. Step 4: Simplify right side
    294,803.40x = 42,077,122,009.02
  5. Step 5: Solve for x
    x = 42,077,122,009.02/294,803.40
  6. Step 6: Final answer
    x = 142,729.43

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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.