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Finding the Fourth Proportional to 101,014.23, 151,652.57 and 77,657.07

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Solution

The fourth proportional to 101,014.23, 151,652.57 and 77,657.07 is: 116,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,014.23 : 151,652.57 = 77,657.07 : x
  2. Step 2: Convert to fraction form
    101,014.23/151,652.57 = 77,657.07/x
  3. Step 3: Cross multiply
    101,014.23x = 151,652.57 × 77,657.07
  4. Step 4: Simplify right side
    101,014.23x = 11,776,893,855.88
  5. Step 5: Solve for x
    x = 11,776,893,855.88/101,014.23
  6. Step 6: Final answer
    x = 116,586.48

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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.