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Finding the Fourth Proportional to 101,840.58, 152,699.46 and 45,670.50

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Solution

The fourth proportional to 101,840.58, 152,699.46 and 45,670.50 is: 68,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,840.58 : 152,699.46 = 45,670.50 : x
  2. Step 2: Convert to fraction form
    101,840.58/152,699.46 = 45,670.50/x
  3. Step 3: Cross multiply
    101,840.58x = 152,699.46 × 45,670.50
  4. Step 4: Simplify right side
    101,840.58x = 6,973,860,687.93
  5. Step 5: Solve for x
    x = 6,973,860,687.93/101,840.58
  6. Step 6: Final answer
    x = 68,478.21

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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.