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Finding the Fourth Proportional to 205,888.04, 308,834.62 and 56,135.72

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Solution

The fourth proportional to 205,888.04, 308,834.62 and 56,135.72 is: 84,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,888.04 : 308,834.62 = 56,135.72 : x
  2. Step 2: Convert to fraction form
    205,888.04/308,834.62 = 56,135.72/x
  3. Step 3: Cross multiply
    205,888.04x = 308,834.62 × 56,135.72
  4. Step 4: Simplify right side
    205,888.04x = 17,336,653,754.63
  5. Step 5: Solve for x
    x = 17,336,653,754.63/205,888.04
  6. Step 6: Final answer
    x = 84,204.28

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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.