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Finding the Fourth Proportional to 189,693.19, 261,831.15 and 125,209.50

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Solution

The fourth proportional to 189,693.19, 261,831.15 and 125,209.50 is: 172,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,693.19 : 261,831.15 = 125,209.50 : x
  2. Step 2: Convert to fraction form
    189,693.19/261,831.15 = 125,209.50/x
  3. Step 3: Cross multiply
    189,693.19x = 261,831.15 × 125,209.50
  4. Step 4: Simplify right side
    189,693.19x = 32,783,746,394.06
  5. Step 5: Solve for x
    x = 32,783,746,394.06/189,693.19
  6. Step 6: Final answer
    x = 172,825.11

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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.