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Finding the Fourth Proportional to 198,276, 273,496.14 and 117,646.32

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Solution

The fourth proportional to 198,276, 273,496.14 and 117,646.32 is: 162,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,276 : 273,496.14 = 117,646.32 : x
  2. Step 2: Convert to fraction form
    198,276/273,496.14 = 117,646.32/x
  3. Step 3: Cross multiply
    198,276x = 273,496.14 × 117,646.32
  4. Step 4: Simplify right side
    198,276x = 32,175,814,405.20
  5. Step 5: Solve for x
    x = 32,175,814,405.20/198,276
  6. Step 6: Final answer
    x = 162,277.91

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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.