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Finding the Fourth Proportional to 225,403.17, 311,056.38 and 129,916.02

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Solution

The fourth proportional to 225,403.17, 311,056.38 and 129,916.02 is: 179,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,403.17 : 311,056.38 = 129,916.02 : x
  2. Step 2: Convert to fraction form
    225,403.17/311,056.38 = 129,916.02/x
  3. Step 3: Cross multiply
    225,403.17x = 311,056.38 × 129,916.02
  4. Step 4: Simplify right side
    225,403.17x = 40,411,205,936.59
  5. Step 5: Solve for x
    x = 40,411,205,936.59/225,403.17
  6. Step 6: Final answer
    x = 179,284.11

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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.