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Finding the Fourth Proportional to 105,866.72, 158,799.15 and 46,702.44

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Solution

The fourth proportional to 105,866.72, 158,799.15 and 46,702.44 is: 70,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,866.72 : 158,799.15 = 46,702.44 : x
  2. Step 2: Convert to fraction form
    105,866.72/158,799.15 = 46,702.44/x
  3. Step 3: Cross multiply
    105,866.72x = 158,799.15 × 46,702.44
  4. Step 4: Simplify right side
    105,866.72x = 7,416,307,774.93
  5. Step 5: Solve for x
    x = 7,416,307,774.93/105,866.72
  6. Step 6: Final answer
    x = 70,053.25

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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.