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Finding the Fourth Proportional to 100,916.50, 139,269.09 and 56,204.50

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Solution

The fourth proportional to 100,916.50, 139,269.09 and 56,204.50 is: 77,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,916.50 : 139,269.09 = 56,204.50 : x
  2. Step 2: Convert to fraction form
    100,916.50/139,269.09 = 56,204.50/x
  3. Step 3: Cross multiply
    100,916.50x = 139,269.09 × 56,204.50
  4. Step 4: Simplify right side
    100,916.50x = 7,827,549,568.91
  5. Step 5: Solve for x
    x = 7,827,549,568.91/100,916.50
  6. Step 6: Final answer
    x = 77,564.62

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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.