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Finding the Fourth Proportional to 105,483.66, 158,077.86 and 61,098.49

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Solution

The fourth proportional to 105,483.66, 158,077.86 and 61,098.49 is: 91,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,483.66 : 158,077.86 = 61,098.49 : x
  2. Step 2: Convert to fraction form
    105,483.66/158,077.86 = 61,098.49/x
  3. Step 3: Cross multiply
    105,483.66x = 158,077.86 × 61,098.49
  4. Step 4: Simplify right side
    105,483.66x = 9,658,318,548.43
  5. Step 5: Solve for x
    x = 9,658,318,548.43/105,483.66
  6. Step 6: Final answer
    x = 91,562.22

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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.