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Finding the Fourth Proportional to 202,712.20, 304,068.30 and 97,736.20

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Solution

The fourth proportional to 202,712.20, 304,068.30 and 97,736.20 is: 146,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,712.20 : 304,068.30 = 97,736.20 : x
  2. Step 2: Convert to fraction form
    202,712.20/304,068.30 = 97,736.20/x
  3. Step 3: Cross multiply
    202,712.20x = 304,068.30 × 97,736.20
  4. Step 4: Simplify right side
    202,712.20x = 29,718,480,182.46
  5. Step 5: Solve for x
    x = 29,718,480,182.46/202,712.20
  6. Step 6: Final answer
    x = 146,604.30

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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.