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Finding the Fourth Proportional to 164,232.19, 245,724.22 and 100,207.71

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Solution

The fourth proportional to 164,232.19, 245,724.22 and 100,207.71 is: 149,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,232.19 : 245,724.22 = 100,207.71 : x
  2. Step 2: Convert to fraction form
    164,232.19/245,724.22 = 100,207.71/x
  3. Step 3: Cross multiply
    164,232.19x = 245,724.22 × 100,207.71
  4. Step 4: Simplify right side
    164,232.19x = 24,623,461,377.74
  5. Step 5: Solve for x
    x = 24,623,461,377.74/164,232.19
  6. Step 6: Final answer
    x = 149,930.79

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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.