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Finding the Fourth Proportional to 227,710.80, 314,216.66 and 132,199.64

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Solution

The fourth proportional to 227,710.80, 314,216.66 and 132,199.64 is: 182,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,710.80 : 314,216.66 = 132,199.64 : x
  2. Step 2: Convert to fraction form
    227,710.80/314,216.66 = 132,199.64/x
  3. Step 3: Cross multiply
    227,710.80x = 314,216.66 × 132,199.64
  4. Step 4: Simplify right side
    227,710.80x = 41,539,329,334.00
  5. Step 5: Solve for x
    x = 41,539,329,334.00/227,710.80
  6. Step 6: Final answer
    x = 182,421.43

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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.