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Finding the Fourth Proportional to 105,907.13, 158,926.35 and 61,554.77

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Solution

The fourth proportional to 105,907.13, 158,926.35 and 61,554.77 is: 92,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,907.13 : 158,926.35 = 61,554.77 : x
  2. Step 2: Convert to fraction form
    105,907.13/158,926.35 = 61,554.77/x
  3. Step 3: Cross multiply
    105,907.13x = 158,926.35 × 61,554.77
  4. Step 4: Simplify right side
    105,907.13x = 9,782,674,921.19
  5. Step 5: Solve for x
    x = 9,782,674,921.19/105,907.13
  6. Step 6: Final answer
    x = 92,370.31

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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.