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Finding the Fourth Proportional to 241,102.68, 361,770.66 and 147,557.40

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Solution

The fourth proportional to 241,102.68, 361,770.66 and 147,557.40 is: 221,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,102.68 : 361,770.66 = 147,557.40 : x
  2. Step 2: Convert to fraction form
    241,102.68/361,770.66 = 147,557.40/x
  3. Step 3: Cross multiply
    241,102.68x = 361,770.66 × 147,557.40
  4. Step 4: Simplify right side
    241,102.68x = 53,381,937,985.88
  5. Step 5: Solve for x
    x = 53,381,937,985.88/241,102.68
  6. Step 6: Final answer
    x = 221,407.48

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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.