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Finding the Fourth Proportional to 147,068.88, 218,940.08 and 146,194.08

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Solution

The fourth proportional to 147,068.88, 218,940.08 and 146,194.08 is: 217,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,068.88 : 218,940.08 = 146,194.08 : x
  2. Step 2: Convert to fraction form
    147,068.88/218,940.08 = 146,194.08/x
  3. Step 3: Cross multiply
    147,068.88x = 218,940.08 × 146,194.08
  4. Step 4: Simplify right side
    147,068.88x = 32,007,743,570.73
  5. Step 5: Solve for x
    x = 32,007,743,570.73/147,068.88
  6. Step 6: Final answer
    x = 217,637.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.