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Finding the Fourth Proportional to 409,156.64, 613,741.44 and 124,853.12

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Solution

The fourth proportional to 409,156.64, 613,741.44 and 124,853.12 is: 187,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,156.64 : 613,741.44 = 124,853.12 : x
  2. Step 2: Convert to fraction form
    409,156.64/613,741.44 = 124,853.12/x
  3. Step 3: Cross multiply
    409,156.64x = 613,741.44 × 124,853.12
  4. Step 4: Simplify right side
    409,156.64x = 76,627,533,657.29
  5. Step 5: Solve for x
    x = 76,627,533,657.29/409,156.64
  6. Step 6: Final answer
    x = 187,281.66

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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.