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Finding the Fourth Proportional to 198,054.40, 297,345.28 and 115,008

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Solution

The fourth proportional to 198,054.40, 297,345.28 and 115,008 is: 172,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,054.40 : 297,345.28 = 115,008 : x
  2. Step 2: Convert to fraction form
    198,054.40/297,345.28 = 115,008/x
  3. Step 3: Cross multiply
    198,054.40x = 297,345.28 × 115,008
  4. Step 4: Simplify right side
    198,054.40x = 34,197,085,962.24
  5. Step 5: Solve for x
    x = 34,197,085,962.24/198,054.40
  6. Step 6: Final answer
    x = 172,665.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.