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Finding the Fourth Proportional to 205,009.70, 307,527.50 and 86,665.46

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Solution

The fourth proportional to 205,009.70, 307,527.50 and 86,665.46 is: 130,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,009.70 : 307,527.50 = 86,665.46 : x
  2. Step 2: Convert to fraction form
    205,009.70/307,527.50 = 86,665.46/x
  3. Step 3: Cross multiply
    205,009.70x = 307,527.50 × 86,665.46
  4. Step 4: Simplify right side
    205,009.70x = 26,652,010,929.18
  5. Step 5: Solve for x
    x = 26,652,010,929.18/205,009.70
  6. Step 6: Final answer
    x = 130,003.66

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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.