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Finding the Fourth Proportional to 262,502.25, 393,811.70 and 96,290.25

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Solution

The fourth proportional to 262,502.25, 393,811.70 and 96,290.25 is: 144,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,502.25 : 393,811.70 = 96,290.25 : x
  2. Step 2: Convert to fraction form
    262,502.25/393,811.70 = 96,290.25/x
  3. Step 3: Cross multiply
    262,502.25x = 393,811.70 × 96,290.25
  4. Step 4: Simplify right side
    262,502.25x = 37,920,226,564.47
  5. Step 5: Solve for x
    x = 37,920,226,564.47/262,502.25
  6. Step 6: Final answer
    x = 144,456.77

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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.