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Finding the Fourth Proportional to 265,175.73, 365,950.64 and 150,459.14

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Solution

The fourth proportional to 265,175.73, 365,950.64 and 150,459.14 is: 207,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,175.73 : 365,950.64 = 150,459.14 : x
  2. Step 2: Convert to fraction form
    265,175.73/365,950.64 = 150,459.14/x
  3. Step 3: Cross multiply
    265,175.73x = 365,950.64 × 150,459.14
  4. Step 4: Simplify right side
    265,175.73x = 55,060,619,867.87
  5. Step 5: Solve for x
    x = 55,060,619,867.87/265,175.73
  6. Step 6: Final answer
    x = 207,638.23

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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.