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Finding the Fourth Proportional to 145,299.97, 200,603.42 and 115,206.85

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Solution

The fourth proportional to 145,299.97, 200,603.42 and 115,206.85 is: 159,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,299.97 : 200,603.42 = 115,206.85 : x
  2. Step 2: Convert to fraction form
    145,299.97/200,603.42 = 115,206.85/x
  3. Step 3: Cross multiply
    145,299.97x = 200,603.42 × 115,206.85
  4. Step 4: Simplify right side
    145,299.97x = 23,110,887,541.39
  5. Step 5: Solve for x
    x = 23,110,887,541.39/145,299.97
  6. Step 6: Final answer
    x = 159,056.38

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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.