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Finding the Fourth Proportional to 272,950.46, 409,499.38 and 83,405.63

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Solution

The fourth proportional to 272,950.46, 409,499.38 and 83,405.63 is: 125,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,950.46 : 409,499.38 = 83,405.63 : x
  2. Step 2: Convert to fraction form
    272,950.46/409,499.38 = 83,405.63/x
  3. Step 3: Cross multiply
    272,950.46x = 409,499.38 × 83,405.63
  4. Step 4: Simplify right side
    272,950.46x = 34,154,554,901.51
  5. Step 5: Solve for x
    x = 34,154,554,901.51/272,950.46
  6. Step 6: Final answer
    x = 125,130.97

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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.