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Finding the Fourth Proportional to 232,036.38, 320,184.53 and 128,667.98

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Solution

The fourth proportional to 232,036.38, 320,184.53 and 128,667.98 is: 177,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,036.38 : 320,184.53 = 128,667.98 : x
  2. Step 2: Convert to fraction form
    232,036.38/320,184.53 = 128,667.98/x
  3. Step 3: Cross multiply
    232,036.38x = 320,184.53 × 128,667.98
  4. Step 4: Simplify right side
    232,036.38x = 41,197,495,540.94
  5. Step 5: Solve for x
    x = 41,197,495,540.94/232,036.38
  6. Step 6: Final answer
    x = 177,547.57

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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.