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Finding the Fourth Proportional to 262,107, 361,715.34 and 148,934.52

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Solution

The fourth proportional to 262,107, 361,715.34 and 148,934.52 is: 205,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,107 : 361,715.34 = 148,934.52 : x
  2. Step 2: Convert to fraction form
    262,107/361,715.34 = 148,934.52/x
  3. Step 3: Cross multiply
    262,107x = 361,715.34 × 148,934.52
  4. Step 4: Simplify right side
    262,107x = 53,871,900,539.54
  5. Step 5: Solve for x
    x = 53,871,900,539.54/262,107
  6. Step 6: Final answer
    x = 205,534.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.