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Finding the Fourth Proportional to 229,616.80, 343,810.80 and 146,058.40

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Solution

The fourth proportional to 229,616.80, 343,810.80 and 146,058.40 is: 218,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,616.80 : 343,810.80 = 146,058.40 : x
  2. Step 2: Convert to fraction form
    229,616.80/343,810.80 = 146,058.40/x
  3. Step 3: Cross multiply
    229,616.80x = 343,810.80 × 146,058.40
  4. Step 4: Simplify right side
    229,616.80x = 50,216,455,350.72
  5. Step 5: Solve for x
    x = 50,216,455,350.72/229,616.80
  6. Step 6: Final answer
    x = 218,696.78

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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.