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Finding the Fourth Proportional to 97,477.83, 146,214.15 and 73,830.26

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Solution

The fourth proportional to 97,477.83, 146,214.15 and 73,830.26 is: 110,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,477.83 : 146,214.15 = 73,830.26 : x
  2. Step 2: Convert to fraction form
    97,477.83/146,214.15 = 73,830.26/x
  3. Step 3: Cross multiply
    97,477.83x = 146,214.15 × 73,830.26
  4. Step 4: Simplify right side
    97,477.83x = 10,795,028,710.18
  5. Step 5: Solve for x
    x = 10,795,028,710.18/97,477.83
  6. Step 6: Final answer
    x = 110,743.42

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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.