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Finding the Fourth Proportional to 160,902.96, 241,356.96 and 61,036.80

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Solution

The fourth proportional to 160,902.96, 241,356.96 and 61,036.80 is: 91,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,902.96 : 241,356.96 = 61,036.80 : x
  2. Step 2: Convert to fraction form
    160,902.96/241,356.96 = 61,036.80/x
  3. Step 3: Cross multiply
    160,902.96x = 241,356.96 × 61,036.80
  4. Step 4: Simplify right side
    160,902.96x = 14,731,656,496.13
  5. Step 5: Solve for x
    x = 14,731,656,496.13/160,902.96
  6. Step 6: Final answer
    x = 91,556.16

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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.