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Finding the Fourth Proportional to 255,562.02, 383,293.62 and 97,752.96

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Solution

The fourth proportional to 255,562.02, 383,293.62 and 97,752.96 is: 146,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,562.02 : 383,293.62 = 97,752.96 : x
  2. Step 2: Convert to fraction form
    255,562.02/383,293.62 = 97,752.96/x
  3. Step 3: Cross multiply
    255,562.02x = 383,293.62 × 97,752.96
  4. Step 4: Simplify right side
    255,562.02x = 37,468,085,904.12
  5. Step 5: Solve for x
    x = 37,468,085,904.12/255,562.02
  6. Step 6: Final answer
    x = 146,610.54

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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.