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Finding the Fourth Proportional to 106,565.87, 147,237.41 and 84,076.00

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Solution

The fourth proportional to 106,565.87, 147,237.41 and 84,076.00 is: 116,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.87 : 147,237.41 = 84,076.00 : x
  2. Step 2: Convert to fraction form
    106,565.87/147,237.41 = 84,076.00/x
  3. Step 3: Cross multiply
    106,565.87x = 147,237.41 × 84,076.00
  4. Step 4: Simplify right side
    106,565.87x = 12,379,132,325.26
  5. Step 5: Solve for x
    x = 12,379,132,325.26/106,565.87
  6. Step 6: Final answer
    x = 116,164.13

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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.