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Finding the Fourth Proportional to 145,866.61, 201,314.73 and 82,224.91

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Solution

The fourth proportional to 145,866.61, 201,314.73 and 82,224.91 is: 113,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866.61 : 201,314.73 = 82,224.91 : x
  2. Step 2: Convert to fraction form
    145,866.61/201,314.73 = 82,224.91/x
  3. Step 3: Cross multiply
    145,866.61x = 201,314.73 × 82,224.91
  4. Step 4: Simplify right side
    145,866.61x = 16,553,085,555.92
  5. Step 5: Solve for x
    x = 16,553,085,555.92/145,866.61
  6. Step 6: Final answer
    x = 113,480.98

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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.