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Finding the Fourth Proportional to 224,031.69, 308,956.08 and 163,506.47

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Solution

The fourth proportional to 224,031.69, 308,956.08 and 163,506.47 is: 225,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,031.69 : 308,956.08 = 163,506.47 : x
  2. Step 2: Convert to fraction form
    224,031.69/308,956.08 = 163,506.47/x
  3. Step 3: Cross multiply
    224,031.69x = 308,956.08 × 163,506.47
  4. Step 4: Simplify right side
    224,031.69x = 50,516,318,025.84
  5. Step 5: Solve for x
    x = 50,516,318,025.84/224,031.69
  6. Step 6: Final answer
    x = 225,487.38

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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.