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Finding the Fourth Proportional to 235,301.06, 352,995.33 and 77,535.74

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Solution

The fourth proportional to 235,301.06, 352,995.33 and 77,535.74 is: 116,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,301.06 : 352,995.33 = 77,535.74 : x
  2. Step 2: Convert to fraction form
    235,301.06/352,995.33 = 77,535.74/x
  3. Step 3: Cross multiply
    235,301.06x = 352,995.33 × 77,535.74
  4. Step 4: Simplify right side
    235,301.06x = 27,369,754,128.09
  5. Step 5: Solve for x
    x = 27,369,754,128.09/235,301.06
  6. Step 6: Final answer
    x = 116,318.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.