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Finding the Fourth Proportional to 199,776, 275,690.88 and 110,352

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Solution

The fourth proportional to 199,776, 275,690.88 and 110,352 is: 152,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,776 : 275,690.88 = 110,352 : x
  2. Step 2: Convert to fraction form
    199,776/275,690.88 = 110,352/x
  3. Step 3: Cross multiply
    199,776x = 275,690.88 × 110,352
  4. Step 4: Simplify right side
    199,776x = 30,423,039,989.76
  5. Step 5: Solve for x
    x = 30,423,039,989.76/199,776
  6. Step 6: Final answer
    x = 152,285.76

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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.