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Finding the Fourth Proportional to 101,464.66, 152,220.67 and 29,419.07

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Solution

The fourth proportional to 101,464.66, 152,220.67 and 29,419.07 is: 44,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,464.66 : 152,220.67 = 29,419.07 : x
  2. Step 2: Convert to fraction form
    101,464.66/152,220.67 = 29,419.07/x
  3. Step 3: Cross multiply
    101,464.66x = 152,220.67 × 29,419.07
  4. Step 4: Simplify right side
    101,464.66x = 4,478,191,303.48
  5. Step 5: Solve for x
    x = 4,478,191,303.48/101,464.66
  6. Step 6: Final answer
    x = 44,135.48

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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.