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Finding the Fourth Proportional to 133,225.16, 199,831.05 and 48,978.88

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Solution

The fourth proportional to 133,225.16, 199,831.05 and 48,978.88 is: 73,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,225.16 : 199,831.05 = 48,978.88 : x
  2. Step 2: Convert to fraction form
    133,225.16/199,831.05 = 48,978.88/x
  3. Step 3: Cross multiply
    133,225.16x = 199,831.05 × 48,978.88
  4. Step 4: Simplify right side
    133,225.16x = 9,787,500,518.65
  5. Step 5: Solve for x
    x = 9,787,500,518.65/133,225.16
  6. Step 6: Final answer
    x = 73,465.86

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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.