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Finding the Fourth Proportional to 205,678.07, 308,555.71 and 93,366.16

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Solution

The fourth proportional to 205,678.07, 308,555.71 and 93,366.16 is: 140,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,678.07 : 308,555.71 = 93,366.16 : x
  2. Step 2: Convert to fraction form
    205,678.07/308,555.71 = 93,366.16/x
  3. Step 3: Cross multiply
    205,678.07x = 308,555.71 × 93,366.16
  4. Step 4: Simplify right side
    205,678.07x = 28,808,661,788.77
  5. Step 5: Solve for x
    x = 28,808,661,788.77/205,678.07
  6. Step 6: Final answer
    x = 140,066.76

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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.