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Finding the Fourth Proportional to 282,462.72, 389,797.22 and 153,400.29

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Solution

The fourth proportional to 282,462.72, 389,797.22 and 153,400.29 is: 211,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,462.72 : 389,797.22 = 153,400.29 : x
  2. Step 2: Convert to fraction form
    282,462.72/389,797.22 = 153,400.29/x
  3. Step 3: Cross multiply
    282,462.72x = 389,797.22 × 153,400.29
  4. Step 4: Simplify right side
    282,462.72x = 59,795,005,822.19
  5. Step 5: Solve for x
    x = 59,795,005,822.19/282,462.72
  6. Step 6: Final answer
    x = 211,691.67

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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.