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Finding the Fourth Proportional to 106,130.01, 146,434.06 and 71,738.86

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Solution

The fourth proportional to 106,130.01, 146,434.06 and 71,738.86 is: 98,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,130.01 : 146,434.06 = 71,738.86 : x
  2. Step 2: Convert to fraction form
    106,130.01/146,434.06 = 71,738.86/x
  3. Step 3: Cross multiply
    106,130.01x = 146,434.06 × 71,738.86
  4. Step 4: Simplify right side
    106,130.01x = 10,505,012,886.82
  5. Step 5: Solve for x
    x = 10,505,012,886.82/106,130.01
  6. Step 6: Final answer
    x = 98,982.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.