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Finding the Fourth Proportional to 207,269.30, 310,903.95 and 165,797.30

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Solution

The fourth proportional to 207,269.30, 310,903.95 and 165,797.30 is: 248,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,269.30 : 310,903.95 = 165,797.30 : x
  2. Step 2: Convert to fraction form
    207,269.30/310,903.95 = 165,797.30/x
  3. Step 3: Cross multiply
    207,269.30x = 310,903.95 × 165,797.30
  4. Step 4: Simplify right side
    207,269.30x = 51,547,035,469.34
  5. Step 5: Solve for x
    x = 51,547,035,469.34/207,269.30
  6. Step 6: Final answer
    x = 248,695.95

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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.