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Finding the Fourth Proportional to 262,856.75, 362,742.64 and 141,998.03

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Solution

The fourth proportional to 262,856.75, 362,742.64 and 141,998.03 is: 195,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,856.75 : 362,742.64 = 141,998.03 : x
  2. Step 2: Convert to fraction form
    262,856.75/362,742.64 = 141,998.03/x
  3. Step 3: Cross multiply
    262,856.75x = 362,742.64 × 141,998.03
  4. Step 4: Simplify right side
    262,856.75x = 51,508,740,277.00
  5. Step 5: Solve for x
    x = 51,508,740,277.00/262,856.75
  6. Step 6: Final answer
    x = 195,957.46

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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.