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Finding the Fourth Proportional to 174,695.20, 261,697.20 and 162,253.60

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Solution

The fourth proportional to 174,695.20, 261,697.20 and 162,253.60 is: 243,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,695.20 : 261,697.20 = 162,253.60 : x
  2. Step 2: Convert to fraction form
    174,695.20/261,697.20 = 162,253.60/x
  3. Step 3: Cross multiply
    174,695.20x = 261,697.20 × 162,253.60
  4. Step 4: Simplify right side
    174,695.20x = 42,461,312,809.92
  5. Step 5: Solve for x
    x = 42,461,312,809.92/174,695.20
  6. Step 6: Final answer
    x = 243,059.41

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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.