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Finding the Fourth Proportional to 262,050.84, 361,525.14 and 165,222.84

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Solution

The fourth proportional to 262,050.84, 361,525.14 and 165,222.84 is: 227,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,050.84 : 361,525.14 = 165,222.84 : x
  2. Step 2: Convert to fraction form
    262,050.84/361,525.14 = 165,222.84/x
  3. Step 3: Cross multiply
    262,050.84x = 361,525.14 × 165,222.84
  4. Step 4: Simplify right side
    262,050.84x = 59,732,210,362.20
  5. Step 5: Solve for x
    x = 59,732,210,362.20/262,050.84
  6. Step 6: Final answer
    x = 227,941.30

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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.