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Finding the Fourth Proportional to 202,710.20, 304,065.30 and 97,734.20

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Solution

The fourth proportional to 202,710.20, 304,065.30 and 97,734.20 is: 146,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,710.20 : 304,065.30 = 97,734.20 : x
  2. Step 2: Convert to fraction form
    202,710.20/304,065.30 = 97,734.20/x
  3. Step 3: Cross multiply
    202,710.20x = 304,065.30 × 97,734.20
  4. Step 4: Simplify right side
    202,710.20x = 29,717,578,843.26
  5. Step 5: Solve for x
    x = 29,717,578,843.26/202,710.20
  6. Step 6: Final answer
    x = 146,601.30

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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.