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Finding the Fourth Proportional to 233,202.89, 321,864.05 and 146,028.47

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Solution

The fourth proportional to 233,202.89, 321,864.05 and 146,028.47 is: 201,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,202.89 : 321,864.05 = 146,028.47 : x
  2. Step 2: Convert to fraction form
    233,202.89/321,864.05 = 146,028.47/x
  3. Step 3: Cross multiply
    233,202.89x = 321,864.05 × 146,028.47
  4. Step 4: Simplify right side
    233,202.89x = 47,001,312,430.04
  5. Step 5: Solve for x
    x = 47,001,312,430.04/233,202.89
  6. Step 6: Final answer
    x = 201,546.87

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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.