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Finding the Fourth Proportional to 205,381.20, 308,071.80 and 57,637.20

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Solution

The fourth proportional to 205,381.20, 308,071.80 and 57,637.20 is: 86,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,381.20 : 308,071.80 = 57,637.20 : x
  2. Step 2: Convert to fraction form
    205,381.20/308,071.80 = 57,637.20/x
  3. Step 3: Cross multiply
    205,381.20x = 308,071.80 × 57,637.20
  4. Step 4: Simplify right side
    205,381.20x = 17,756,395,950.96
  5. Step 5: Solve for x
    x = 17,756,395,950.96/205,381.20
  6. Step 6: Final answer
    x = 86,455.80

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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.