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Finding the Fourth Proportional to 101,186.84, 151,782.32 and 34,703.40

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Solution

The fourth proportional to 101,186.84, 151,782.32 and 34,703.40 is: 52,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,186.84 : 151,782.32 = 34,703.40 : x
  2. Step 2: Convert to fraction form
    101,186.84/151,782.32 = 34,703.40/x
  3. Step 3: Cross multiply
    101,186.84x = 151,782.32 × 34,703.40
  4. Step 4: Simplify right side
    101,186.84x = 5,267,362,563.89
  5. Step 5: Solve for x
    x = 5,267,362,563.89/101,186.84
  6. Step 6: Final answer
    x = 52,055.81

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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.