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Finding the Fourth Proportional to 232,549.16, 320,952.94 and 141,957.86

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Solution

The fourth proportional to 232,549.16, 320,952.94 and 141,957.86 is: 195,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,549.16 : 320,952.94 = 141,957.86 : x
  2. Step 2: Convert to fraction form
    232,549.16/320,952.94 = 141,957.86/x
  3. Step 3: Cross multiply
    232,549.16x = 320,952.94 × 141,957.86
  4. Step 4: Simplify right side
    232,549.16x = 45,561,792,523.11
  5. Step 5: Solve for x
    x = 45,561,792,523.11/232,549.16
  6. Step 6: Final answer
    x = 195,923.27

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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.