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Finding the Fourth Proportional to 302,063.75, 416,744.22 and 187,301.07

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Solution

The fourth proportional to 302,063.75, 416,744.22 and 187,301.07 is: 258,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,063.75 : 416,744.22 = 187,301.07 : x
  2. Step 2: Convert to fraction form
    302,063.75/416,744.22 = 187,301.07/x
  3. Step 3: Cross multiply
    302,063.75x = 416,744.22 × 187,301.07
  4. Step 4: Simplify right side
    302,063.75x = 78,056,639,024.69
  5. Step 5: Solve for x
    x = 78,056,639,024.69/302,063.75
  6. Step 6: Final answer
    x = 258,411.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.