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Finding the Fourth Proportional to 174,123.60, 261,742.20 and 161,797.20

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Solution

The fourth proportional to 174,123.60, 261,742.20 and 161,797.20 is: 243,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,123.60 : 261,742.20 = 161,797.20 : x
  2. Step 2: Convert to fraction form
    174,123.60/261,742.20 = 161,797.20/x
  3. Step 3: Cross multiply
    174,123.60x = 261,742.20 × 161,797.20
  4. Step 4: Simplify right side
    174,123.60x = 42,349,155,081.84
  5. Step 5: Solve for x
    x = 42,349,155,081.84/174,123.60
  6. Step 6: Final answer
    x = 243,213.18

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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.