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Finding the Fourth Proportional to 198,362, 297,543.04 and 50,618

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Solution

The fourth proportional to 198,362, 297,543.04 and 50,618 is: 75,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,362 : 297,543.04 = 50,618 : x
  2. Step 2: Convert to fraction form
    198,362/297,543.04 = 50,618/x
  3. Step 3: Cross multiply
    198,362x = 297,543.04 × 50,618
  4. Step 4: Simplify right side
    198,362x = 15,061,033,598.72
  5. Step 5: Solve for x
    x = 15,061,033,598.72/198,362
  6. Step 6: Final answer
    x = 75,927.01

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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.