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Finding the Fourth Proportional to 168,228, 232,154.64 and 101,160

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Solution

The fourth proportional to 168,228, 232,154.64 and 101,160 is: 139,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,228 : 232,154.64 = 101,160 : x
  2. Step 2: Convert to fraction form
    168,228/232,154.64 = 101,160/x
  3. Step 3: Cross multiply
    168,228x = 232,154.64 × 101,160
  4. Step 4: Simplify right side
    168,228x = 23,484,763,382.40
  5. Step 5: Solve for x
    x = 23,484,763,382.40/168,228
  6. Step 6: Final answer
    x = 139,600.80

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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.