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Finding the Fourth Proportional to 223,983, 335,980.98 and 57,771

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Solution

The fourth proportional to 223,983, 335,980.98 and 57,771 is: 86,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,983 : 335,980.98 = 57,771 : x
  2. Step 2: Convert to fraction form
    223,983/335,980.98 = 57,771/x
  3. Step 3: Cross multiply
    223,983x = 335,980.98 × 57,771
  4. Step 4: Simplify right side
    223,983x = 19,409,957,195.58
  5. Step 5: Solve for x
    x = 19,409,957,195.58/223,983
  6. Step 6: Final answer
    x = 86,658.17

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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.