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Finding the Fourth Proportional to 169,071.14, 233,318.16 and 93,619.64

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Solution

The fourth proportional to 169,071.14, 233,318.16 and 93,619.64 is: 129,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,071.14 : 233,318.16 = 93,619.64 : x
  2. Step 2: Convert to fraction form
    169,071.14/233,318.16 = 93,619.64/x
  3. Step 3: Cross multiply
    169,071.14x = 233,318.16 × 93,619.64
  4. Step 4: Simplify right side
    169,071.14x = 21,843,162,144.66
  5. Step 5: Solve for x
    x = 21,843,162,144.66/169,071.14
  6. Step 6: Final answer
    x = 129,195.10

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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.