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Finding the Fourth Proportional to 97,779.78, 146,739.62 and 41,659.20

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Solution

The fourth proportional to 97,779.78, 146,739.62 and 41,659.20 is: 62,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,779.78 : 146,739.62 = 41,659.20 : x
  2. Step 2: Convert to fraction form
    97,779.78/146,739.62 = 41,659.20/x
  3. Step 3: Cross multiply
    97,779.78x = 146,739.62 × 41,659.20
  4. Step 4: Simplify right side
    97,779.78x = 6,113,054,969.21
  5. Step 5: Solve for x
    x = 6,113,054,969.21/97,779.78
  6. Step 6: Final answer
    x = 62,518.60

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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.