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Finding the Fourth Proportional to 174,158.60, 260,892.30 and 100,200.20

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Solution

The fourth proportional to 174,158.60, 260,892.30 and 100,200.20 is: 150,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,158.60 : 260,892.30 = 100,200.20 : x
  2. Step 2: Convert to fraction form
    174,158.60/260,892.30 = 100,200.20/x
  3. Step 3: Cross multiply
    174,158.60x = 260,892.30 × 100,200.20
  4. Step 4: Simplify right side
    174,158.60x = 26,141,460,638.46
  5. Step 5: Solve for x
    x = 26,141,460,638.46/174,158.60
  6. Step 6: Final answer
    x = 150,101.46

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1.5x scale

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.