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Finding the Fourth Proportional to 233,540.74, 322,393.53 and 152,971.66

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Solution

The fourth proportional to 233,540.74, 322,393.53 and 152,971.66 is: 211,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,540.74 : 322,393.53 = 152,971.66 : x
  2. Step 2: Convert to fraction form
    233,540.74/322,393.53 = 152,971.66/x
  3. Step 3: Cross multiply
    233,540.74x = 322,393.53 × 152,971.66
  4. Step 4: Simplify right side
    233,540.74x = 49,317,073,457.36
  5. Step 5: Solve for x
    x = 49,317,073,457.36/233,540.74
  6. Step 6: Final answer
    x = 211,171.18

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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.