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Finding the Fourth Proportional to 224,785.86, 310,236.98 and 134,145.65

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Solution

The fourth proportional to 224,785.86, 310,236.98 and 134,145.65 is: 185,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,785.86 : 310,236.98 = 134,145.65 : x
  2. Step 2: Convert to fraction form
    224,785.86/310,236.98 = 134,145.65/x
  3. Step 3: Cross multiply
    224,785.86x = 310,236.98 × 134,145.65
  4. Step 4: Simplify right side
    224,785.86x = 41,616,939,114.22
  5. Step 5: Solve for x
    x = 41,616,939,114.22/224,785.86
  6. Step 6: Final answer
    x = 185,140.38

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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.