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Finding the Fourth Proportional to 207,176.52, 285,914.14 and 116,547.24

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Solution

The fourth proportional to 207,176.52, 285,914.14 and 116,547.24 is: 160,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,176.52 : 285,914.14 = 116,547.24 : x
  2. Step 2: Convert to fraction form
    207,176.52/285,914.14 = 116,547.24/x
  3. Step 3: Cross multiply
    207,176.52x = 285,914.14 × 116,547.24
  4. Step 4: Simplify right side
    207,176.52x = 33,322,503,893.97
  5. Step 5: Solve for x
    x = 33,322,503,893.97/207,176.52
  6. Step 6: Final answer
    x = 160,841.12

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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.