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Finding the Fourth Proportional to 102,795.80, 153,963.30 and 61,323.80

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Solution

The fourth proportional to 102,795.80, 153,963.30 and 61,323.80 is: 91,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,795.80 : 153,963.30 = 61,323.80 : x
  2. Step 2: Convert to fraction form
    102,795.80/153,963.30 = 61,323.80/x
  3. Step 3: Cross multiply
    102,795.80x = 153,963.30 × 61,323.80
  4. Step 4: Simplify right side
    102,795.80x = 9,441,614,616.54
  5. Step 5: Solve for x
    x = 9,441,614,616.54/102,795.80
  6. Step 6: Final answer
    x = 91,848.25

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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.