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Finding the Fourth Proportional to 198,353.61, 297,549.05 and 65,234.16

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Solution

The fourth proportional to 198,353.61, 297,549.05 and 65,234.16 is: 97,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,353.61 : 297,549.05 = 65,234.16 : x
  2. Step 2: Convert to fraction form
    198,353.61/297,549.05 = 65,234.16/x
  3. Step 3: Cross multiply
    198,353.61x = 297,549.05 × 65,234.16
  4. Step 4: Simplify right side
    198,353.61x = 19,410,362,009.38
  5. Step 5: Solve for x
    x = 19,410,362,009.38/198,353.61
  6. Step 6: Final answer
    x = 97,857.37

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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.