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Finding the Fourth Proportional to 101,762.22, 152,612.24 and 70,374

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Solution

The fourth proportional to 101,762.22, 152,612.24 and 70,374 is: 105,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762.22 : 152,612.24 = 70,374 : x
  2. Step 2: Convert to fraction form
    101,762.22/152,612.24 = 70,374/x
  3. Step 3: Cross multiply
    101,762.22x = 152,612.24 × 70,374
  4. Step 4: Simplify right side
    101,762.22x = 10,739,933,425.89
  5. Step 5: Solve for x
    x = 10,739,933,425.89/101,762.22
  6. Step 6: Final answer
    x = 105,539.50

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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.