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Finding the Fourth Proportional to 224,392.94, 336,398.09 and 97,938.64

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Solution

The fourth proportional to 224,392.94, 336,398.09 and 97,938.64 is: 146,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,392.94 : 336,398.09 = 97,938.64 : x
  2. Step 2: Convert to fraction form
    224,392.94/336,398.09 = 97,938.64/x
  3. Step 3: Cross multiply
    224,392.94x = 336,398.09 × 97,938.64
  4. Step 4: Simplify right side
    224,392.94x = 32,946,371,433.20
  5. Step 5: Solve for x
    x = 32,946,371,433.20/224,392.94
  6. Step 6: Final answer
    x = 146,824.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.