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Finding the Fourth Proportional to 83,368.58, 115,103.63 and 64,214.51

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Solution

The fourth proportional to 83,368.58, 115,103.63 and 64,214.51 is: 88,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,368.58 : 115,103.63 = 64,214.51 : x
  2. Step 2: Convert to fraction form
    83,368.58/115,103.63 = 64,214.51/x
  3. Step 3: Cross multiply
    83,368.58x = 115,103.63 × 64,214.51
  4. Step 4: Simplify right side
    83,368.58x = 7,391,322,784.69
  5. Step 5: Solve for x
    x = 7,391,322,784.69/83,368.58
  6. Step 6: Final answer
    x = 88,658.38

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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.