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Finding the Fourth Proportional to 314,738.94, 472,175.54 and 101,518.82

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Solution

The fourth proportional to 314,738.94, 472,175.54 and 101,518.82 is: 152,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,738.94 : 472,175.54 = 101,518.82 : x
  2. Step 2: Convert to fraction form
    314,738.94/472,175.54 = 101,518.82/x
  3. Step 3: Cross multiply
    314,738.94x = 472,175.54 × 101,518.82
  4. Step 4: Simplify right side
    314,738.94x = 47,934,703,653.66
  5. Step 5: Solve for x
    x = 47,934,703,653.66/314,738.94
  6. Step 6: Final answer
    x = 152,299.88

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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.