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Finding the Fourth Proportional to 204,573.84, 282,678.06 and 159,368.58

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Solution

The fourth proportional to 204,573.84, 282,678.06 and 159,368.58 is: 220,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,573.84 : 282,678.06 = 159,368.58 : x
  2. Step 2: Convert to fraction form
    204,573.84/282,678.06 = 159,368.58/x
  3. Step 3: Cross multiply
    204,573.84x = 282,678.06 × 159,368.58
  4. Step 4: Simplify right side
    204,573.84x = 45,050,001,019.35
  5. Step 5: Solve for x
    x = 45,050,001,019.35/204,573.84
  6. Step 6: Final answer
    x = 220,213.89

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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.