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Finding the Fourth Proportional to 169,289.28, 233,643.42 and 97,693.92

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Solution

The fourth proportional to 169,289.28, 233,643.42 and 97,693.92 is: 134,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,289.28 : 233,643.42 = 97,693.92 : x
  2. Step 2: Convert to fraction form
    169,289.28/233,643.42 = 97,693.92/x
  3. Step 3: Cross multiply
    169,289.28x = 233,643.42 × 97,693.92
  4. Step 4: Simplify right side
    169,289.28x = 22,825,541,582.01
  5. Step 5: Solve for x
    x = 22,825,541,582.01/169,289.28
  6. Step 6: Final answer
    x = 134,831.58

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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.