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Finding the Fourth Proportional to 98,861.50, 136,428.87 and 56,419.12

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Solution

The fourth proportional to 98,861.50, 136,428.87 and 56,419.12 is: 77,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,861.50 : 136,428.87 = 56,419.12 : x
  2. Step 2: Convert to fraction form
    98,861.50/136,428.87 = 56,419.12/x
  3. Step 3: Cross multiply
    98,861.50x = 136,428.87 × 56,419.12
  4. Step 4: Simplify right side
    98,861.50x = 7,697,196,787.99
  5. Step 5: Solve for x
    x = 7,697,196,787.99/98,861.50
  6. Step 6: Final answer
    x = 77,858.39

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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.