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Finding the Fourth Proportional to 199,773, 275,686.74 and 110,349

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Solution

The fourth proportional to 199,773, 275,686.74 and 110,349 is: 152,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,773 : 275,686.74 = 110,349 : x
  2. Step 2: Convert to fraction form
    199,773/275,686.74 = 110,349/x
  3. Step 3: Cross multiply
    199,773x = 275,686.74 × 110,349
  4. Step 4: Simplify right side
    199,773x = 30,421,756,072.26
  5. Step 5: Solve for x
    x = 30,421,756,072.26/199,773
  6. Step 6: Final answer
    x = 152,281.62

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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.