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Finding the Fourth Proportional to 232,554.67, 320,921.36 and 130,580.93

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Solution

The fourth proportional to 232,554.67, 320,921.36 and 130,580.93 is: 180,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,554.67 : 320,921.36 = 130,580.93 : x
  2. Step 2: Convert to fraction form
    232,554.67/320,921.36 = 130,580.93/x
  3. Step 3: Cross multiply
    232,554.67x = 320,921.36 × 130,580.93
  4. Step 4: Simplify right side
    232,554.67x = 41,906,210,284.74
  5. Step 5: Solve for x
    x = 41,906,210,284.74/232,554.67
  6. Step 6: Final answer
    x = 180,199.39

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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.