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Finding the Fourth Proportional to 199,065.40, 298,598.10 and 65,966.20

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Solution

The fourth proportional to 199,065.40, 298,598.10 and 65,966.20 is: 98,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,065.40 : 298,598.10 = 65,966.20 : x
  2. Step 2: Convert to fraction form
    199,065.40/298,598.10 = 65,966.20/x
  3. Step 3: Cross multiply
    199,065.40x = 298,598.10 × 65,966.20
  4. Step 4: Simplify right side
    199,065.40x = 19,697,381,984.22
  5. Step 5: Solve for x
    x = 19,697,381,984.22/199,065.40
  6. Step 6: Final answer
    x = 98,949.30

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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.