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Finding the Fourth Proportional to 224,234, 309,445.34 and 122,258.63

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Solution

The fourth proportional to 224,234, 309,445.34 and 122,258.63 is: 168,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,234 : 309,445.34 = 122,258.63 : x
  2. Step 2: Convert to fraction form
    224,234/309,445.34 = 122,258.63/x
  3. Step 3: Cross multiply
    224,234x = 309,445.34 × 122,258.63
  4. Step 4: Simplify right side
    224,234x = 37,832,363,328.28
  5. Step 5: Solve for x
    x = 37,832,363,328.28/224,234
  6. Step 6: Final answer
    x = 168,718.23

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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.