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Finding the Fourth Proportional to 205,088, 283,021.44 and 110,880

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Solution

The fourth proportional to 205,088, 283,021.44 and 110,880 is: 153,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,088 : 283,021.44 = 110,880 : x
  2. Step 2: Convert to fraction form
    205,088/283,021.44 = 110,880/x
  3. Step 3: Cross multiply
    205,088x = 283,021.44 × 110,880
  4. Step 4: Simplify right side
    205,088x = 31,381,417,267.20
  5. Step 5: Solve for x
    x = 31,381,417,267.20/205,088
  6. Step 6: Final answer
    x = 153,014.40

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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.