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Finding the Fourth Proportional to 225,200.40, 337,746.60 and 130,225.20

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Solution

The fourth proportional to 225,200.40, 337,746.60 and 130,225.20 is: 195,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,200.40 : 337,746.60 = 130,225.20 : x
  2. Step 2: Convert to fraction form
    225,200.40/337,746.60 = 130,225.20/x
  3. Step 3: Cross multiply
    225,200.40x = 337,746.60 × 130,225.20
  4. Step 4: Simplify right side
    225,200.40x = 43,983,118,534.32
  5. Step 5: Solve for x
    x = 43,983,118,534.32/225,200.40
  6. Step 6: Final answer
    x = 195,306.57

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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.