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Finding the Fourth Proportional to 232,223.40, 320,464.70 and 130,248.84

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Solution

The fourth proportional to 232,223.40, 320,464.70 and 130,248.84 is: 179,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,223.40 : 320,464.70 = 130,248.84 : x
  2. Step 2: Convert to fraction form
    232,223.40/320,464.70 = 130,248.84/x
  3. Step 3: Cross multiply
    232,223.40x = 320,464.70 × 130,248.84
  4. Step 4: Simplify right side
    232,223.40x = 41,740,155,435.95
  5. Step 5: Solve for x
    x = 41,740,155,435.95/232,223.40
  6. Step 6: Final answer
    x = 179,741.38

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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.