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Finding the Fourth Proportional to 220,931, 304,876.06 and 135,033.87

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Solution

The fourth proportional to 220,931, 304,876.06 and 135,033.87 is: 186,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,931 : 304,876.06 = 135,033.87 : x
  2. Step 2: Convert to fraction form
    220,931/304,876.06 = 135,033.87/x
  3. Step 3: Cross multiply
    220,931x = 304,876.06 × 135,033.87
  4. Step 4: Simplify right side
    220,931x = 41,168,594,252.15
  5. Step 5: Solve for x
    x = 41,168,594,252.15/220,931
  6. Step 6: Final answer
    x = 186,341.41

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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.