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Finding the Fourth Proportional to 105,551.68, 158,334 and 46,415.20

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Solution

The fourth proportional to 105,551.68, 158,334 and 46,415.20 is: 69,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,551.68 : 158,334 = 46,415.20 : x
  2. Step 2: Convert to fraction form
    105,551.68/158,334 = 46,415.20/x
  3. Step 3: Cross multiply
    105,551.68x = 158,334 × 46,415.20
  4. Step 4: Simplify right side
    105,551.68x = 7,349,104,276.80
  5. Step 5: Solve for x
    x = 7,349,104,276.80/105,551.68
  6. Step 6: Final answer
    x = 69,625.65

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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.