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Finding the Fourth Proportional to 98,393.40, 147,574.26 and 28,256.76

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Solution

The fourth proportional to 98,393.40, 147,574.26 and 28,256.76 is: 42,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,393.40 : 147,574.26 = 28,256.76 : x
  2. Step 2: Convert to fraction form
    98,393.40/147,574.26 = 28,256.76/x
  3. Step 3: Cross multiply
    98,393.40x = 147,574.26 × 28,256.76
  4. Step 4: Simplify right side
    98,393.40x = 4,169,970,447.00
  5. Step 5: Solve for x
    x = 4,169,970,447.00/98,393.40
  6. Step 6: Final answer
    x = 42,380.59

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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.