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Finding the Fourth Proportional to 154,335.40, 230,919.90 and 101,847.40

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Solution

The fourth proportional to 154,335.40, 230,919.90 and 101,847.40 is: 152,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335.40 : 230,919.90 = 101,847.40 : x
  2. Step 2: Convert to fraction form
    154,335.40/230,919.90 = 101,847.40/x
  3. Step 3: Cross multiply
    154,335.40x = 230,919.90 × 101,847.40
  4. Step 4: Simplify right side
    154,335.40x = 23,518,591,423.26
  5. Step 5: Solve for x
    x = 23,518,591,423.26/154,335.40
  6. Step 6: Final answer
    x = 152,386.24

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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.