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Finding the Fourth Proportional to 150,952.40, 225,845.40 and 98,464.40

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Solution

The fourth proportional to 150,952.40, 225,845.40 and 98,464.40 is: 147,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,952.40 : 225,845.40 = 98,464.40 : x
  2. Step 2: Convert to fraction form
    150,952.40/225,845.40 = 98,464.40/x
  3. Step 3: Cross multiply
    150,952.40x = 225,845.40 × 98,464.40
  4. Step 4: Simplify right side
    150,952.40x = 22,237,731,803.76
  5. Step 5: Solve for x
    x = 22,237,731,803.76/150,952.40
  6. Step 6: Final answer
    x = 147,316.19

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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.