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Finding the Fourth Proportional to 223,562, 308,514.08 and 126,784.16

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Solution

The fourth proportional to 223,562, 308,514.08 and 126,784.16 is: 174,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,562 : 308,514.08 = 126,784.16 : x
  2. Step 2: Convert to fraction form
    223,562/308,514.08 = 126,784.16/x
  3. Step 3: Cross multiply
    223,562x = 308,514.08 × 126,784.16
  4. Step 4: Simplify right side
    223,562x = 39,114,698,480.97
  5. Step 5: Solve for x
    x = 39,114,698,480.97/223,562
  6. Step 6: Final answer
    x = 174,961.30

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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.