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Finding the Fourth Proportional to 251,683.77, 377,656.91 and 102,034.65

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Solution

The fourth proportional to 251,683.77, 377,656.91 and 102,034.65 is: 153,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,683.77 : 377,656.91 = 102,034.65 : x
  2. Step 2: Convert to fraction form
    251,683.77/377,656.91 = 102,034.65/x
  3. Step 3: Cross multiply
    251,683.77x = 377,656.91 × 102,034.65
  4. Step 4: Simplify right side
    251,683.77x = 38,534,090,631.93
  5. Step 5: Solve for x
    x = 38,534,090,631.93/251,683.77
  6. Step 6: Final answer
    x = 153,105.19

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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.