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Finding the Fourth Proportional to 199,301.52, 275,112.88 and 146,009.82

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Solution

The fourth proportional to 199,301.52, 275,112.88 and 146,009.82 is: 201,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,301.52 : 275,112.88 = 146,009.82 : x
  2. Step 2: Convert to fraction form
    199,301.52/275,112.88 = 146,009.82/x
  3. Step 3: Cross multiply
    199,301.52x = 275,112.88 × 146,009.82
  4. Step 4: Simplify right side
    199,301.52x = 40,169,182,088.48
  5. Step 5: Solve for x
    x = 40,169,182,088.48/199,301.52
  6. Step 6: Final answer
    x = 201,549.80

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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.