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Finding the Fourth Proportional to 243,117.16, 364,489.84 and 200,864.32

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Solution

The fourth proportional to 243,117.16, 364,489.84 and 200,864.32 is: 301,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,117.16 : 364,489.84 = 200,864.32 : x
  2. Step 2: Convert to fraction form
    243,117.16/364,489.84 = 200,864.32/x
  3. Step 3: Cross multiply
    243,117.16x = 364,489.84 × 200,864.32
  4. Step 4: Simplify right side
    243,117.16x = 73,213,003,858.51
  5. Step 5: Solve for x
    x = 73,213,003,858.51/243,117.16
  6. Step 6: Final answer
    x = 301,142.89

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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.