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Finding the Fourth Proportional to 233,659.70, 322,238.68 and 153,057.81

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Solution

The fourth proportional to 233,659.70, 322,238.68 and 153,057.81 is: 211,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,659.70 : 322,238.68 = 153,057.81 : x
  2. Step 2: Convert to fraction form
    233,659.70/322,238.68 = 153,057.81/x
  3. Step 3: Cross multiply
    233,659.70x = 322,238.68 × 153,057.81
  4. Step 4: Simplify right side
    233,659.70x = 49,321,146,275.45
  5. Step 5: Solve for x
    x = 49,321,146,275.45/233,659.70
  6. Step 6: Final answer
    x = 211,081.10

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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.