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Finding the Fourth Proportional to 78,111, 117,396.27 and 64,869.12

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Solution

The fourth proportional to 78,111, 117,396.27 and 64,869.12 is: 97,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,111 : 117,396.27 = 64,869.12 : x
  2. Step 2: Convert to fraction form
    78,111/117,396.27 = 64,869.12/x
  3. Step 3: Cross multiply
    78,111x = 117,396.27 × 64,869.12
  4. Step 4: Simplify right side
    78,111x = 7,615,392,726.18
  5. Step 5: Solve for x
    x = 7,615,392,726.18/78,111
  6. Step 6: Final answer
    x = 97,494.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.