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Finding the Fourth Proportional to 105,447.90, 158,171.84 and 46,284.08

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Solution

The fourth proportional to 105,447.90, 158,171.84 and 46,284.08 is: 69,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,447.90 : 158,171.84 = 46,284.08 : x
  2. Step 2: Convert to fraction form
    105,447.90/158,171.84 = 46,284.08/x
  3. Step 3: Cross multiply
    105,447.90x = 158,171.84 × 46,284.08
  4. Step 4: Simplify right side
    105,447.90x = 7,320,837,305.45
  5. Step 5: Solve for x
    x = 7,320,837,305.45/105,447.90
  6. Step 6: Final answer
    x = 69,426.11

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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.