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Finding the Fourth Proportional to 153,834.60, 230,363.10 and 122,730.60

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Solution

The fourth proportional to 153,834.60, 230,363.10 and 122,730.60 is: 183,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,834.60 : 230,363.10 = 122,730.60 : x
  2. Step 2: Convert to fraction form
    153,834.60/230,363.10 = 122,730.60/x
  3. Step 3: Cross multiply
    153,834.60x = 230,363.10 × 122,730.60
  4. Step 4: Simplify right side
    153,834.60x = 28,272,601,480.86
  5. Step 5: Solve for x
    x = 28,272,601,480.86/153,834.60
  6. Step 6: Final answer
    x = 183,785.71

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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.