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Finding the Fourth Proportional to 268,621.32, 402,901.23 and 100,147.16

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Solution

The fourth proportional to 268,621.32, 402,901.23 and 100,147.16 is: 150,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,621.32 : 402,901.23 = 100,147.16 : x
  2. Step 2: Convert to fraction form
    268,621.32/402,901.23 = 100,147.16/x
  3. Step 3: Cross multiply
    268,621.32x = 402,901.23 × 100,147.16
  4. Step 4: Simplify right side
    268,621.32x = 40,349,411,930.50
  5. Step 5: Solve for x
    x = 40,349,411,930.50/268,621.32
  6. Step 6: Final answer
    x = 150,209.27

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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.