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Finding the Fourth Proportional to 205,532.96, 308,310 and 57,800.48

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Solution

The fourth proportional to 205,532.96, 308,310 and 57,800.48 is: 86,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,532.96 : 308,310 = 57,800.48 : x
  2. Step 2: Convert to fraction form
    205,532.96/308,310 = 57,800.48/x
  3. Step 3: Cross multiply
    205,532.96x = 308,310 × 57,800.48
  4. Step 4: Simplify right side
    205,532.96x = 17,820,465,988.80
  5. Step 5: Solve for x
    x = 17,820,465,988.80/205,532.96
  6. Step 6: Final answer
    x = 86,703.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.