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Finding the Fourth Proportional to 232,162.81, 320,452.71 and 151,602.84

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Solution

The fourth proportional to 232,162.81, 320,452.71 and 151,602.84 is: 209,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,162.81 : 320,452.71 = 151,602.84 : x
  2. Step 2: Convert to fraction form
    232,162.81/320,452.71 = 151,602.84/x
  3. Step 3: Cross multiply
    232,162.81x = 320,452.71 × 151,602.84
  4. Step 4: Simplify right side
    232,162.81x = 48,581,540,353.19
  5. Step 5: Solve for x
    x = 48,581,540,353.19/232,162.81
  6. Step 6: Final answer
    x = 209,256.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.