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Finding the Fourth Proportional to 262,140.40, 361,750.30 and 147,419.01

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Solution

The fourth proportional to 262,140.40, 361,750.30 and 147,419.01 is: 203,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,140.40 : 361,750.30 = 147,419.01 : x
  2. Step 2: Convert to fraction form
    262,140.40/361,750.30 = 147,419.01/x
  3. Step 3: Cross multiply
    262,140.40x = 361,750.30 × 147,419.01
  4. Step 4: Simplify right side
    262,140.40x = 53,328,870,188.83
  5. Step 5: Solve for x
    x = 53,328,870,188.83/262,140.40
  6. Step 6: Final answer
    x = 203,436.29

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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.