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Finding the Fourth Proportional to 262,707.75, 362,537.10 and 149,530.50

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Solution

The fourth proportional to 262,707.75, 362,537.10 and 149,530.50 is: 206,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,707.75 : 362,537.10 = 149,530.50 : x
  2. Step 2: Convert to fraction form
    262,707.75/362,537.10 = 149,530.50/x
  3. Step 3: Cross multiply
    262,707.75x = 362,537.10 × 149,530.50
  4. Step 4: Simplify right side
    262,707.75x = 54,210,353,831.55
  5. Step 5: Solve for x
    x = 54,210,353,831.55/262,707.75
  6. Step 6: Final answer
    x = 206,352.32

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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.