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Finding the Fourth Proportional to 207,297.95, 286,067.79 and 116,653.86

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Solution

The fourth proportional to 207,297.95, 286,067.79 and 116,653.86 is: 160,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,297.95 : 286,067.79 = 116,653.86 : x
  2. Step 2: Convert to fraction form
    207,297.95/286,067.79 = 116,653.86/x
  3. Step 3: Cross multiply
    207,297.95x = 286,067.79 × 116,653.86
  4. Step 4: Simplify right side
    207,297.95x = 33,370,911,925.17
  5. Step 5: Solve for x
    x = 33,370,911,925.17/207,297.95
  6. Step 6: Final answer
    x = 160,980.43

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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.