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Finding the Fourth Proportional to 78,196.36, 107,911.16 and 42,386.22

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Solution

The fourth proportional to 78,196.36, 107,911.16 and 42,386.22 is: 58,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,196.36 : 107,911.16 = 42,386.22 : x
  2. Step 2: Convert to fraction form
    78,196.36/107,911.16 = 42,386.22/x
  3. Step 3: Cross multiply
    78,196.36x = 107,911.16 × 42,386.22
  4. Step 4: Simplify right side
    78,196.36x = 4,573,946,168.22
  5. Step 5: Solve for x
    x = 4,573,946,168.22/78,196.36
  6. Step 6: Final answer
    x = 58,493.08

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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.