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Finding the Fourth Proportional to 229,039.26, 343,392.78 and 153,973.20

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Solution

The fourth proportional to 229,039.26, 343,392.78 and 153,973.20 is: 230,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,039.26 : 343,392.78 = 153,973.20 : x
  2. Step 2: Convert to fraction form
    229,039.26/343,392.78 = 153,973.20/x
  3. Step 3: Cross multiply
    229,039.26x = 343,392.78 × 153,973.20
  4. Step 4: Simplify right side
    229,039.26x = 52,873,285,193.50
  5. Step 5: Solve for x
    x = 52,873,285,193.50/229,039.26
  6. Step 6: Final answer
    x = 230,848.13

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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.