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Finding the Fourth Proportional to 132,842.33, 198,382.96 and 116,746.01

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Solution

The fourth proportional to 132,842.33, 198,382.96 and 116,746.01 is: 174,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,842.33 : 198,382.96 = 116,746.01 : x
  2. Step 2: Convert to fraction form
    132,842.33/198,382.96 = 116,746.01/x
  3. Step 3: Cross multiply
    132,842.33x = 198,382.96 × 116,746.01
  4. Step 4: Simplify right side
    132,842.33x = 23,160,418,040.07
  5. Step 5: Solve for x
    x = 23,160,418,040.07/132,842.33
  6. Step 6: Final answer
    x = 174,345.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.