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Finding the Fourth Proportional to 232,278, 320,526.36 and 131,673.84

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Solution

The fourth proportional to 232,278, 320,526.36 and 131,673.84 is: 181,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,278 : 320,526.36 = 131,673.84 : x
  2. Step 2: Convert to fraction form
    232,278/320,526.36 = 131,673.84/x
  3. Step 3: Cross multiply
    232,278x = 320,526.36 × 131,673.84
  4. Step 4: Simplify right side
    232,278x = 42,204,936,642.42
  5. Step 5: Solve for x
    x = 42,204,936,642.42/232,278
  6. Step 6: Final answer
    x = 181,700.10

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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.