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Finding the Fourth Proportional to 232,308.54, 320,683.65 and 156,959.10

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Solution

The fourth proportional to 232,308.54, 320,683.65 and 156,959.10 is: 216,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,308.54 : 320,683.65 = 156,959.10 : x
  2. Step 2: Convert to fraction form
    232,308.54/320,683.65 = 156,959.10/x
  3. Step 3: Cross multiply
    232,308.54x = 320,683.65 × 156,959.10
  4. Step 4: Simplify right side
    232,308.54x = 50,334,217,088.72
  5. Step 5: Solve for x
    x = 50,334,217,088.72/232,308.54
  6. Step 6: Final answer
    x = 216,669.68

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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.