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Finding the Fourth Proportional to 251,683.08, 377,655.78 and 102,033.96

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Solution

The fourth proportional to 251,683.08, 377,655.78 and 102,033.96 is: 153,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,683.08 : 377,655.78 = 102,033.96 : x
  2. Step 2: Convert to fraction form
    251,683.08/377,655.78 = 102,033.96/x
  3. Step 3: Cross multiply
    251,683.08x = 377,655.78 × 102,033.96
  4. Step 4: Simplify right side
    251,683.08x = 38,533,714,750.29
  5. Step 5: Solve for x
    x = 38,533,714,750.29/251,683.08
  6. Step 6: Final answer
    x = 153,104.11

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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.