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Finding the Fourth Proportional to 241,680, 362,597.04 and 101,400.96

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Solution

The fourth proportional to 241,680, 362,597.04 and 101,400.96 is: 152,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,680 : 362,597.04 = 101,400.96 : x
  2. Step 2: Convert to fraction form
    241,680/362,597.04 = 101,400.96/x
  3. Step 3: Cross multiply
    241,680x = 362,597.04 × 101,400.96
  4. Step 4: Simplify right side
    241,680x = 36,767,687,949.16
  5. Step 5: Solve for x
    x = 36,767,687,949.16/241,680
  6. Step 6: Final answer
    x = 152,133.76

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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.