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Finding the Fourth Proportional to 105,854.49, 158,730.70 and 61,493.93

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Solution

The fourth proportional to 105,854.49, 158,730.70 and 61,493.93 is: 92,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854.49 : 158,730.70 = 61,493.93 : x
  2. Step 2: Convert to fraction form
    105,854.49/158,730.70 = 61,493.93/x
  3. Step 3: Cross multiply
    105,854.49x = 158,730.70 × 61,493.93
  4. Step 4: Simplify right side
    105,854.49x = 9,760,974,554.65
  5. Step 5: Solve for x
    x = 9,760,974,554.65/105,854.49
  6. Step 6: Final answer
    x = 92,211.25

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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.