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Finding the Fourth Proportional to 230,291.64, 345,399.80 and 163,529.82

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Solution

The fourth proportional to 230,291.64, 345,399.80 and 163,529.82 is: 245,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,291.64 : 345,399.80 = 163,529.82 : x
  2. Step 2: Convert to fraction form
    230,291.64/345,399.80 = 163,529.82/x
  3. Step 3: Cross multiply
    230,291.64x = 345,399.80 × 163,529.82
  4. Step 4: Simplify right side
    230,291.64x = 56,483,166,304.39
  5. Step 5: Solve for x
    x = 56,483,166,304.39/230,291.64
  6. Step 6: Final answer
    x = 245,267.98

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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.