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Finding the Fourth Proportional to 123,802.79, 185,777.96 and 44,923.16

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Solution

The fourth proportional to 123,802.79, 185,777.96 and 44,923.16 is: 67,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802.79 : 185,777.96 = 44,923.16 : x
  2. Step 2: Convert to fraction form
    123,802.79/185,777.96 = 44,923.16/x
  3. Step 3: Cross multiply
    123,802.79x = 185,777.96 × 44,923.16
  4. Step 4: Simplify right side
    123,802.79x = 8,345,733,261.38
  5. Step 5: Solve for x
    x = 8,345,733,261.38/123,802.79
  6. Step 6: Final answer
    x = 67,411.51

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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.