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Finding the Fourth Proportional to 105,077.88, 157,454.82 and 51,708.60

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Solution

The fourth proportional to 105,077.88, 157,454.82 and 51,708.60 is: 77,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,077.88 : 157,454.82 = 51,708.60 : x
  2. Step 2: Convert to fraction form
    105,077.88/157,454.82 = 51,708.60/x
  3. Step 3: Cross multiply
    105,077.88x = 157,454.82 × 51,708.60
  4. Step 4: Simplify right side
    105,077.88x = 8,141,768,305.45
  5. Step 5: Solve for x
    x = 8,141,768,305.45/105,077.88
  6. Step 6: Final answer
    x = 77,483.18

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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.