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Finding the Fourth Proportional to 207,207.98, 285,946.61 and 116,564.02

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Solution

The fourth proportional to 207,207.98, 285,946.61 and 116,564.02 is: 160,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,207.98 : 285,946.61 = 116,564.02 : x
  2. Step 2: Convert to fraction form
    207,207.98/285,946.61 = 116,564.02/x
  3. Step 3: Cross multiply
    207,207.98x = 285,946.61 × 116,564.02
  4. Step 4: Simplify right side
    207,207.98x = 33,331,084,354.42
  5. Step 5: Solve for x
    x = 33,331,084,354.42/207,207.98
  6. Step 6: Final answer
    x = 160,858.11

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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.