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Finding the Fourth Proportional to 169,042.32, 233,281.98 and 92,564.64

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Solution

The fourth proportional to 169,042.32, 233,281.98 and 92,564.64 is: 127,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,042.32 : 233,281.98 = 92,564.64 : x
  2. Step 2: Convert to fraction form
    169,042.32/233,281.98 = 92,564.64/x
  3. Step 3: Cross multiply
    169,042.32x = 233,281.98 × 92,564.64
  4. Step 4: Simplify right side
    169,042.32x = 21,593,662,497.19
  5. Step 5: Solve for x
    x = 21,593,662,497.19/169,042.32
  6. Step 6: Final answer
    x = 127,741.16

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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.