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Finding the Fourth Proportional to 229,308.93, 343,612.71 and 96,116.58

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Solution

The fourth proportional to 229,308.93, 343,612.71 and 96,116.58 is: 144,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,308.93 : 343,612.71 = 96,116.58 : x
  2. Step 2: Convert to fraction form
    229,308.93/343,612.71 = 96,116.58/x
  3. Step 3: Cross multiply
    229,308.93x = 343,612.71 × 96,116.58
  4. Step 4: Simplify right side
    229,308.93x = 33,026,878,529.73
  5. Step 5: Solve for x
    x = 33,026,878,529.73/229,308.93
  6. Step 6: Final answer
    x = 144,027.88

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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.