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Finding the Fourth Proportional to 102,202.56, 153,362.16 and 39,858.48

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Solution

The fourth proportional to 102,202.56, 153,362.16 and 39,858.48 is: 59,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,202.56 : 153,362.16 = 39,858.48 : x
  2. Step 2: Convert to fraction form
    102,202.56/153,362.16 = 39,858.48/x
  3. Step 3: Cross multiply
    102,202.56x = 153,362.16 × 39,858.48
  4. Step 4: Simplify right side
    102,202.56x = 6,112,782,587.12
  5. Step 5: Solve for x
    x = 6,112,782,587.12/102,202.56
  6. Step 6: Final answer
    x = 59,810.46

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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.