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Finding the Fourth Proportional to 255,562.24, 383,343.36 and 89,397.76

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Solution

The fourth proportional to 255,562.24, 383,343.36 and 89,397.76 is: 134,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,562.24 : 383,343.36 = 89,397.76 : x
  2. Step 2: Convert to fraction form
    255,562.24/383,343.36 = 89,397.76/x
  3. Step 3: Cross multiply
    255,562.24x = 383,343.36 × 89,397.76
  4. Step 4: Simplify right side
    255,562.24x = 34,270,037,694.87
  5. Step 5: Solve for x
    x = 34,270,037,694.87/255,562.24
  6. Step 6: Final answer
    x = 134,096.64

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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.