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Finding the Fourth Proportional to 223,058.60, 334,847.10 and 134,412.20

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Solution

The fourth proportional to 223,058.60, 334,847.10 and 134,412.20 is: 201,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,058.60 : 334,847.10 = 134,412.20 : x
  2. Step 2: Convert to fraction form
    223,058.60/334,847.10 = 134,412.20/x
  3. Step 3: Cross multiply
    223,058.60x = 334,847.10 × 134,412.20
  4. Step 4: Simplify right side
    223,058.60x = 45,007,535,374.62
  5. Step 5: Solve for x
    x = 45,007,535,374.62/223,058.60
  6. Step 6: Final answer
    x = 201,774.49

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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.