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Finding the Fourth Proportional to 205,314, 283,333.32 and 111,106

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Solution

The fourth proportional to 205,314, 283,333.32 and 111,106 is: 153,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314 : 283,333.32 = 111,106 : x
  2. Step 2: Convert to fraction form
    205,314/283,333.32 = 111,106/x
  3. Step 3: Cross multiply
    205,314x = 283,333.32 × 111,106
  4. Step 4: Simplify right side
    205,314x = 31,480,031,851.92
  5. Step 5: Solve for x
    x = 31,480,031,851.92/205,314
  6. Step 6: Final answer
    x = 153,326.28

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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.