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Finding the Fourth Proportional to 261,753.77, 361,238.87 and 148,583.81

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Solution

The fourth proportional to 261,753.77, 361,238.87 and 148,583.81 is: 205,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,753.77 : 361,238.87 = 148,583.81 : x
  2. Step 2: Convert to fraction form
    261,753.77/361,238.87 = 148,583.81/x
  3. Step 3: Cross multiply
    261,753.77x = 361,238.87 × 148,583.81
  4. Step 4: Simplify right side
    261,753.77x = 53,674,246,881.78
  5. Step 5: Solve for x
    x = 53,674,246,881.78/261,753.77
  6. Step 6: Final answer
    x = 205,056.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.