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Finding the Fourth Proportional to 169,048.64, 233,287.10 and 93,597.14

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Solution

The fourth proportional to 169,048.64, 233,287.10 and 93,597.14 is: 129,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,048.64 : 233,287.10 = 93,597.14 : x
  2. Step 2: Convert to fraction form
    169,048.64/233,287.10 = 93,597.14/x
  3. Step 3: Cross multiply
    169,048.64x = 233,287.10 × 93,597.14
  4. Step 4: Simplify right side
    169,048.64x = 21,835,005,358.89
  5. Step 5: Solve for x
    x = 21,835,005,358.89/169,048.64
  6. Step 6: Final answer
    x = 129,164.04

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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.