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Finding the Fourth Proportional to 98,206.20, 147,386.10 and 45,622.20

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Solution

The fourth proportional to 98,206.20, 147,386.10 and 45,622.20 is: 68,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206.20 : 147,386.10 = 45,622.20 : x
  2. Step 2: Convert to fraction form
    98,206.20/147,386.10 = 45,622.20/x
  3. Step 3: Cross multiply
    98,206.20x = 147,386.10 × 45,622.20
  4. Step 4: Simplify right side
    98,206.20x = 6,724,078,131.42
  5. Step 5: Solve for x
    x = 6,724,078,131.42/98,206.20
  6. Step 6: Final answer
    x = 68,468.98

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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.