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Finding the Fourth Proportional to 268,271.20, 402,150.80 and 99,746.40

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Solution

The fourth proportional to 268,271.20, 402,150.80 and 99,746.40 is: 149,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,271.20 : 402,150.80 = 99,746.40 : x
  2. Step 2: Convert to fraction form
    268,271.20/402,150.80 = 99,746.40/x
  3. Step 3: Cross multiply
    268,271.20x = 402,150.80 × 99,746.40
  4. Step 4: Simplify right side
    268,271.20x = 40,113,094,557.12
  5. Step 5: Solve for x
    x = 40,113,094,557.12/268,271.20
  6. Step 6: Final answer
    x = 149,524.42

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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.