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Finding the Fourth Proportional to 205,685.66, 308,574.66 and 72,567.02

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Solution

The fourth proportional to 205,685.66, 308,574.66 and 72,567.02 is: 108,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,685.66 : 308,574.66 = 72,567.02 : x
  2. Step 2: Convert to fraction form
    205,685.66/308,574.66 = 72,567.02/x
  3. Step 3: Cross multiply
    205,685.66x = 308,574.66 × 72,567.02
  4. Step 4: Simplify right side
    205,685.66x = 22,392,343,523.71
  5. Step 5: Solve for x
    x = 22,392,343,523.71/205,685.66
  6. Step 6: Final answer
    x = 108,866.82

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Why These Related Problems?

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