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Finding the Fourth Proportional to 223,848.80, 335,832.60 and 97,434.80

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Solution

The fourth proportional to 223,848.80, 335,832.60 and 97,434.80 is: 146,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,848.80 : 335,832.60 = 97,434.80 : x
  2. Step 2: Convert to fraction form
    223,848.80/335,832.60 = 97,434.80/x
  3. Step 3: Cross multiply
    223,848.80x = 335,832.60 × 97,434.80
  4. Step 4: Simplify right side
    223,848.80x = 32,721,782,214.48
  5. Step 5: Solve for x
    x = 32,721,782,214.48/223,848.80
  6. Step 6: Final answer
    x = 146,178.06

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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.