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Finding the Fourth Proportional to 204,842, 282,681.96 and 110,634

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Solution

The fourth proportional to 204,842, 282,681.96 and 110,634 is: 152,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,842 : 282,681.96 = 110,634 : x
  2. Step 2: Convert to fraction form
    204,842/282,681.96 = 110,634/x
  3. Step 3: Cross multiply
    204,842x = 282,681.96 × 110,634
  4. Step 4: Simplify right side
    204,842x = 31,274,235,962.64
  5. Step 5: Solve for x
    x = 31,274,235,962.64/204,842
  6. Step 6: Final answer
    x = 152,674.92

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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.