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Finding the Fourth Proportional to 152,813.64, 210,877.38 and 84,833.58

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Solution

The fourth proportional to 152,813.64, 210,877.38 and 84,833.58 is: 117,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,813.64 : 210,877.38 = 84,833.58 : x
  2. Step 2: Convert to fraction form
    152,813.64/210,877.38 = 84,833.58/x
  3. Step 3: Cross multiply
    152,813.64x = 210,877.38 × 84,833.58
  4. Step 4: Simplify right side
    152,813.64x = 17,889,483,086.42
  5. Step 5: Solve for x
    x = 17,889,483,086.42/152,813.64
  6. Step 6: Final answer
    x = 117,067.32

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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.