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Finding the Fourth Proportional to 224,409.74, 309,712.66 and 163,950.12

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Solution

The fourth proportional to 224,409.74, 309,712.66 and 163,950.12 is: 226,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,409.74 : 309,712.66 = 163,950.12 : x
  2. Step 2: Convert to fraction form
    224,409.74/309,712.66 = 163,950.12/x
  3. Step 3: Cross multiply
    224,409.74x = 309,712.66 × 163,950.12
  4. Step 4: Simplify right side
    224,409.74x = 50,777,427,362.64
  5. Step 5: Solve for x
    x = 50,777,427,362.64/224,409.74
  6. Step 6: Final answer
    x = 226,271.05

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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.