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Finding the Fourth Proportional to 205,765.83, 308,601.93 and 99,095.34

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Solution

The fourth proportional to 205,765.83, 308,601.93 and 99,095.34 is: 148,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.83 : 308,601.93 = 99,095.34 : x
  2. Step 2: Convert to fraction form
    205,765.83/308,601.93 = 99,095.34/x
  3. Step 3: Cross multiply
    205,765.83x = 308,601.93 × 99,095.34
  4. Step 4: Simplify right side
    205,765.83x = 30,581,013,178.01
  5. Step 5: Solve for x
    x = 30,581,013,178.01/205,765.83
  6. Step 6: Final answer
    x = 148,620.46

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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.