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Finding the Fourth Proportional to 254,740.76, 381,749.04 and 187,653.32

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Solution

The fourth proportional to 254,740.76, 381,749.04 and 187,653.32 is: 281,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,740.76 : 381,749.04 = 187,653.32 : x
  2. Step 2: Convert to fraction form
    254,740.76/381,749.04 = 187,653.32/x
  3. Step 3: Cross multiply
    254,740.76x = 381,749.04 × 187,653.32
  4. Step 4: Simplify right side
    254,740.76x = 71,636,474,762.81
  5. Step 5: Solve for x
    x = 71,636,474,762.81/254,740.76
  6. Step 6: Final answer
    x = 281,213.24

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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.