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Finding the Fourth Proportional to 138,881.32, 191,656.23 and 75,219.12

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Solution

The fourth proportional to 138,881.32, 191,656.23 and 75,219.12 is: 103,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,881.32 : 191,656.23 = 75,219.12 : x
  2. Step 2: Convert to fraction form
    138,881.32/191,656.23 = 75,219.12/x
  3. Step 3: Cross multiply
    138,881.32x = 191,656.23 × 75,219.12
  4. Step 4: Simplify right side
    138,881.32x = 14,416,212,681.05
  5. Step 5: Solve for x
    x = 14,416,212,681.05/138,881.32
  6. Step 6: Final answer
    x = 103,802.39

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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.