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Finding the Fourth Proportional to 207,070.72, 285,754.43 and 116,426.77

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Solution

The fourth proportional to 207,070.72, 285,754.43 and 116,426.77 is: 160,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,070.72 : 285,754.43 = 116,426.77 : x
  2. Step 2: Convert to fraction form
    207,070.72/285,754.43 = 116,426.77/x
  3. Step 3: Cross multiply
    207,070.72x = 285,754.43 × 116,426.77
  4. Step 4: Simplify right side
    207,070.72x = 33,269,463,287.19
  5. Step 5: Solve for x
    x = 33,269,463,287.19/207,070.72
  6. Step 6: Final answer
    x = 160,667.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.