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Finding the Fourth Proportional to 101,852.60, 140,573.50 and 59,411.16

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Solution

The fourth proportional to 101,852.60, 140,573.50 and 59,411.16 is: 81,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,852.60 : 140,573.50 = 59,411.16 : x
  2. Step 2: Convert to fraction form
    101,852.60/140,573.50 = 59,411.16/x
  3. Step 3: Cross multiply
    101,852.60x = 140,573.50 × 59,411.16
  4. Step 4: Simplify right side
    101,852.60x = 8,351,634,700.26
  5. Step 5: Solve for x
    x = 8,351,634,700.26/101,852.60
  6. Step 6: Final answer
    x = 81,997.27

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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.