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Finding the Fourth Proportional to 161,570.20, 242,258.10 and 82,838.20

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Solution

The fourth proportional to 161,570.20, 242,258.10 and 82,838.20 is: 124,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,570.20 : 242,258.10 = 82,838.20 : x
  2. Step 2: Convert to fraction form
    161,570.20/242,258.10 = 82,838.20/x
  3. Step 3: Cross multiply
    161,570.20x = 242,258.10 × 82,838.20
  4. Step 4: Simplify right side
    161,570.20x = 20,068,224,939.42
  5. Step 5: Solve for x
    x = 20,068,224,939.42/161,570.20
  6. Step 6: Final answer
    x = 124,207.46

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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.