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Finding the Fourth Proportional to 201,864.96, 302,797.43 and 59,699.16

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Solution

The fourth proportional to 201,864.96, 302,797.43 and 59,699.16 is: 89,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864.96 : 302,797.43 = 59,699.16 : x
  2. Step 2: Convert to fraction form
    201,864.96/302,797.43 = 59,699.16/x
  3. Step 3: Cross multiply
    201,864.96x = 302,797.43 × 59,699.16
  4. Step 4: Simplify right side
    201,864.96x = 18,076,752,221.16
  5. Step 5: Solve for x
    x = 18,076,752,221.16/201,864.96
  6. Step 6: Final answer
    x = 89,548.74

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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.