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Finding the Fourth Proportional to 100,159.70, 150,023.54 and 94,271.20

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Solution

The fourth proportional to 100,159.70, 150,023.54 and 94,271.20 is: 141,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.70 : 150,023.54 = 94,271.20 : x
  2. Step 2: Convert to fraction form
    100,159.70/150,023.54 = 94,271.20/x
  3. Step 3: Cross multiply
    100,159.70x = 150,023.54 × 94,271.20
  4. Step 4: Simplify right side
    100,159.70x = 14,142,899,144.05
  5. Step 5: Solve for x
    x = 14,142,899,144.05/100,159.70
  6. Step 6: Final answer
    x = 141,203.49

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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.