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Finding the Fourth Proportional to 204,802.50, 282,613.66 and 128,319.46

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Solution

The fourth proportional to 204,802.50, 282,613.66 and 128,319.46 is: 177,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,802.50 : 282,613.66 = 128,319.46 : x
  2. Step 2: Convert to fraction form
    204,802.50/282,613.66 = 128,319.46/x
  3. Step 3: Cross multiply
    204,802.50x = 282,613.66 × 128,319.46
  4. Step 4: Simplify right side
    204,802.50x = 36,264,832,239.82
  5. Step 5: Solve for x
    x = 36,264,832,239.82/204,802.50
  6. Step 6: Final answer
    x = 177,072.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.