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Finding the Fourth Proportional to 77,101.94, 106,460.98 and 59,168.54

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Solution

The fourth proportional to 77,101.94, 106,460.98 and 59,168.54 is: 81,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.94 : 106,460.98 = 59,168.54 : x
  2. Step 2: Convert to fraction form
    77,101.94/106,460.98 = 59,168.54/x
  3. Step 3: Cross multiply
    77,101.94x = 106,460.98 × 59,168.54
  4. Step 4: Simplify right side
    77,101.94x = 6,299,140,073.34
  5. Step 5: Solve for x
    x = 6,299,140,073.34/77,101.94
  6. Step 6: Final answer
    x = 81,698.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.