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Finding the Fourth Proportional to 78,434, 108,238.92 and 43,106

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Solution

The fourth proportional to 78,434, 108,238.92 and 43,106 is: 59,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,434 : 108,238.92 = 43,106 : x
  2. Step 2: Convert to fraction form
    78,434/108,238.92 = 43,106/x
  3. Step 3: Cross multiply
    78,434x = 108,238.92 × 43,106
  4. Step 4: Simplify right side
    78,434x = 4,665,746,885.52
  5. Step 5: Solve for x
    x = 4,665,746,885.52/78,434
  6. Step 6: Final answer
    x = 59,486.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.