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Finding the Fourth Proportional to 103,289.25, 154,959.80 and 29,417.25

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Solution

The fourth proportional to 103,289.25, 154,959.80 and 29,417.25 is: 44,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,289.25 : 154,959.80 = 29,417.25 : x
  2. Step 2: Convert to fraction form
    103,289.25/154,959.80 = 29,417.25/x
  3. Step 3: Cross multiply
    103,289.25x = 154,959.80 × 29,417.25
  4. Step 4: Simplify right side
    103,289.25x = 4,558,491,029.46
  5. Step 5: Solve for x
    x = 4,558,491,029.46/103,289.25
  6. Step 6: Final answer
    x = 44,133.26

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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.