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Finding the Fourth Proportional to 188,264, 259,827.36 and 108,776

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Solution

The fourth proportional to 188,264, 259,827.36 and 108,776 is: 150,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,264 : 259,827.36 = 108,776 : x
  2. Step 2: Convert to fraction form
    188,264/259,827.36 = 108,776/x
  3. Step 3: Cross multiply
    188,264x = 259,827.36 × 108,776
  4. Step 4: Simplify right side
    188,264x = 28,262,980,911.36
  5. Step 5: Solve for x
    x = 28,262,980,911.36/188,264
  6. Step 6: Final answer
    x = 150,124.19

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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.