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Finding the Fourth Proportional to 207,322.12, 286,102.74 and 117,898.12

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Solution

The fourth proportional to 207,322.12, 286,102.74 and 117,898.12 is: 162,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,322.12 : 286,102.74 = 117,898.12 : x
  2. Step 2: Convert to fraction form
    207,322.12/286,102.74 = 117,898.12/x
  3. Step 3: Cross multiply
    207,322.12x = 286,102.74 × 117,898.12
  4. Step 4: Simplify right side
    207,322.12x = 33,730,975,172.85
  5. Step 5: Solve for x
    x = 33,730,975,172.85/207,322.12
  6. Step 6: Final answer
    x = 162,698.39

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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.