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Finding the Fourth Proportional to 409,151.64, 613,733.94 and 124,848.12

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Solution

The fourth proportional to 409,151.64, 613,733.94 and 124,848.12 is: 187,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,151.64 : 613,733.94 = 124,848.12 : x
  2. Step 2: Convert to fraction form
    409,151.64/613,733.94 = 124,848.12/x
  3. Step 3: Cross multiply
    409,151.64x = 613,733.94 × 124,848.12
  4. Step 4: Simplify right side
    409,151.64x = 76,623,528,589.19
  5. Step 5: Solve for x
    x = 76,623,528,589.19/409,151.64
  6. Step 6: Final answer
    x = 187,274.16

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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.