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Finding the Fourth Proportional to 106,071.98, 146,342.90 and 65,771.24

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Solution

The fourth proportional to 106,071.98, 146,342.90 and 65,771.24 is: 90,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,071.98 : 146,342.90 = 65,771.24 : x
  2. Step 2: Convert to fraction form
    106,071.98/146,342.90 = 65,771.24/x
  3. Step 3: Cross multiply
    106,071.98x = 146,342.90 × 65,771.24
  4. Step 4: Simplify right side
    106,071.98x = 9,625,153,430.91
  5. Step 5: Solve for x
    x = 9,625,153,430.91/106,071.98
  6. Step 6: Final answer
    x = 90,741.72

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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.