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Finding the Fourth Proportional to 138,484.02, 191,102.52 and 78,066.93

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Solution

The fourth proportional to 138,484.02, 191,102.52 and 78,066.93 is: 107,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,484.02 : 191,102.52 = 78,066.93 : x
  2. Step 2: Convert to fraction form
    138,484.02/191,102.52 = 78,066.93/x
  3. Step 3: Cross multiply
    138,484.02x = 191,102.52 × 78,066.93
  4. Step 4: Simplify right side
    138,484.02x = 14,918,787,051.66
  5. Step 5: Solve for x
    x = 14,918,787,051.66/138,484.02
  6. Step 6: Final answer
    x = 107,729.30

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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.