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Finding the Fourth Proportional to 232,507.52, 320,957.88 and 157,158.08

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Solution

The fourth proportional to 232,507.52, 320,957.88 and 157,158.08 is: 216,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,507.52 : 320,957.88 = 157,158.08 : x
  2. Step 2: Convert to fraction form
    232,507.52/320,957.88 = 157,158.08/x
  3. Step 3: Cross multiply
    232,507.52x = 320,957.88 × 157,158.08
  4. Step 4: Simplify right side
    232,507.52x = 50,441,124,181.67
  5. Step 5: Solve for x
    x = 50,441,124,181.67/232,507.52
  6. Step 6: Final answer
    x = 216,944.05

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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.