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Finding the Fourth Proportional to 233,178.65, 321,801.20 and 141,305.98

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Solution

The fourth proportional to 233,178.65, 321,801.20 and 141,305.98 is: 195,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,178.65 : 321,801.20 = 141,305.98 : x
  2. Step 2: Convert to fraction form
    233,178.65/321,801.20 = 141,305.98/x
  3. Step 3: Cross multiply
    233,178.65x = 321,801.20 × 141,305.98
  4. Step 4: Simplify right side
    233,178.65x = 45,472,432,322.17
  5. Step 5: Solve for x
    x = 45,472,432,322.17/233,178.65
  6. Step 6: Final answer
    x = 195,011.14

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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.