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Finding the Fourth Proportional to 205,319, 283,340.22 and 111,111

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Solution

The fourth proportional to 205,319, 283,340.22 and 111,111 is: 153,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,319 : 283,340.22 = 111,111 : x
  2. Step 2: Convert to fraction form
    205,319/283,340.22 = 111,111/x
  3. Step 3: Cross multiply
    205,319x = 283,340.22 × 111,111
  4. Step 4: Simplify right side
    205,319x = 31,482,215,184.42
  5. Step 5: Solve for x
    x = 31,482,215,184.42/205,319
  6. Step 6: Final answer
    x = 153,333.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.