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Finding the Fourth Proportional to 97,166.40, 145,814.40 and 55,046.40

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Solution

The fourth proportional to 97,166.40, 145,814.40 and 55,046.40 is: 82,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,166.40 : 145,814.40 = 55,046.40 : x
  2. Step 2: Convert to fraction form
    97,166.40/145,814.40 = 55,046.40/x
  3. Step 3: Cross multiply
    97,166.40x = 145,814.40 × 55,046.40
  4. Step 4: Simplify right side
    97,166.40x = 8,026,557,788.16
  5. Step 5: Solve for x
    x = 8,026,557,788.16/97,166.40
  6. Step 6: Final answer
    x = 82,606.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.