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Finding the Fourth Proportional to 153,206.82, 229,838.48 and 68,969.04

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Solution

The fourth proportional to 153,206.82, 229,838.48 and 68,969.04 is: 103,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,206.82 : 229,838.48 = 68,969.04 : x
  2. Step 2: Convert to fraction form
    153,206.82/229,838.48 = 68,969.04/x
  3. Step 3: Cross multiply
    153,206.82x = 229,838.48 × 68,969.04
  4. Step 4: Simplify right side
    153,206.82x = 15,851,739,320.66
  5. Step 5: Solve for x
    x = 15,851,739,320.66/153,206.82
  6. Step 6: Final answer
    x = 103,466.28

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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.