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Finding the Fourth Proportional to 223,136, 334,723.20 and 56,923.52

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Solution

The fourth proportional to 223,136, 334,723.20 and 56,923.52 is: 85,390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,136 : 334,723.20 = 56,923.52 : x
  2. Step 2: Convert to fraction form
    223,136/334,723.20 = 56,923.52/x
  3. Step 3: Cross multiply
    223,136x = 334,723.20 × 56,923.52
  4. Step 4: Simplify right side
    223,136x = 19,053,622,769.66
  5. Step 5: Solve for x
    x = 19,053,622,769.66/223,136
  6. Step 6: Final answer
    x = 85,390.18

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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.