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Finding the Fourth Proportional to 223,896.90, 335,845.35 and 157,412.10

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Solution

The fourth proportional to 223,896.90, 335,845.35 and 157,412.10 is: 236,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,896.90 : 335,845.35 = 157,412.10 : x
  2. Step 2: Convert to fraction form
    223,896.90/335,845.35 = 157,412.10/x
  3. Step 3: Cross multiply
    223,896.90x = 335,845.35 × 157,412.10
  4. Step 4: Simplify right side
    223,896.90x = 52,866,121,818.74
  5. Step 5: Solve for x
    x = 52,866,121,818.74/223,896.90
  6. Step 6: Final answer
    x = 236,118.15

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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.