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Finding the Fourth Proportional to 100,916.25, 139,264.43 and 56,204.25

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Solution

The fourth proportional to 100,916.25, 139,264.43 and 56,204.25 is: 77,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,916.25 : 139,264.43 = 56,204.25 : x
  2. Step 2: Convert to fraction form
    100,916.25/139,264.43 = 56,204.25/x
  3. Step 3: Cross multiply
    100,916.25x = 139,264.43 × 56,204.25
  4. Step 4: Simplify right side
    100,916.25x = 7,827,252,558.81
  5. Step 5: Solve for x
    x = 7,827,252,558.81/100,916.25
  6. Step 6: Final answer
    x = 77,561.87

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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.