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Finding the Fourth Proportional to 100,116.84, 138,105.90 and 64,312.14

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Solution

The fourth proportional to 100,116.84, 138,105.90 and 64,312.14 is: 88,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,116.84 : 138,105.90 = 64,312.14 : x
  2. Step 2: Convert to fraction form
    100,116.84/138,105.90 = 64,312.14/x
  3. Step 3: Cross multiply
    100,116.84x = 138,105.90 × 64,312.14
  4. Step 4: Simplify right side
    100,116.84x = 8,881,885,975.63
  5. Step 5: Solve for x
    x = 8,881,885,975.63/100,116.84
  6. Step 6: Final answer
    x = 88,715.20

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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.