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Finding the Fourth Proportional to 77,189.86, 106,527.74 and 43,201.76

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Solution

The fourth proportional to 77,189.86, 106,527.74 and 43,201.76 is: 59,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,189.86 : 106,527.74 = 43,201.76 : x
  2. Step 2: Convert to fraction form
    77,189.86/106,527.74 = 43,201.76/x
  3. Step 3: Cross multiply
    77,189.86x = 106,527.74 × 43,201.76
  4. Step 4: Simplify right side
    77,189.86x = 4,602,185,856.82
  5. Step 5: Solve for x
    x = 4,602,185,856.82/77,189.86
  6. Step 6: Final answer
    x = 59,621.64

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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.