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Finding the Fourth Proportional to 262,510.47, 362,241.52 and 146,215.19

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Solution

The fourth proportional to 262,510.47, 362,241.52 and 146,215.19 is: 201,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,510.47 : 362,241.52 = 146,215.19 : x
  2. Step 2: Convert to fraction form
    262,510.47/362,241.52 = 146,215.19/x
  3. Step 3: Cross multiply
    262,510.47x = 362,241.52 × 146,215.19
  4. Step 4: Simplify right side
    262,510.47x = 52,965,213,212.75
  5. Step 5: Solve for x
    x = 52,965,213,212.75/262,510.47
  6. Step 6: Final answer
    x = 201,764.19

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1.5x scale

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.