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Finding the Fourth Proportional to 229,712.16, 344,656.08 and 89,568.48

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Solution

The fourth proportional to 229,712.16, 344,656.08 and 89,568.48 is: 134,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,712.16 : 344,656.08 = 89,568.48 : x
  2. Step 2: Convert to fraction form
    229,712.16/344,656.08 = 89,568.48/x
  3. Step 3: Cross multiply
    229,712.16x = 344,656.08 × 89,568.48
  4. Step 4: Simplify right side
    229,712.16x = 30,870,321,208.36
  5. Step 5: Solve for x
    x = 30,870,321,208.36/229,712.16
  6. Step 6: Final answer
    x = 134,386.97

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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.