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Finding the Fourth Proportional to 282,266.98, 389,519.74 and 153,199.35

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Solution

The fourth proportional to 282,266.98, 389,519.74 and 153,199.35 is: 211,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,266.98 : 389,519.74 = 153,199.35 : x
  2. Step 2: Convert to fraction form
    282,266.98/389,519.74 = 153,199.35/x
  3. Step 3: Cross multiply
    282,266.98x = 389,519.74 × 153,199.35
  4. Step 4: Simplify right side
    282,266.98x = 59,674,170,309.92
  5. Step 5: Solve for x
    x = 59,674,170,309.92/282,266.98
  6. Step 6: Final answer
    x = 211,410.38

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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.