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Finding the Fourth Proportional to 114,920.40, 172,477.80 and 51,837.60

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Solution

The fourth proportional to 114,920.40, 172,477.80 and 51,837.60 is: 77,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,920.40 : 172,477.80 = 51,837.60 : x
  2. Step 2: Convert to fraction form
    114,920.40/172,477.80 = 51,837.60/x
  3. Step 3: Cross multiply
    114,920.40x = 172,477.80 × 51,837.60
  4. Step 4: Simplify right side
    114,920.40x = 8,940,835,205.28
  5. Step 5: Solve for x
    x = 8,940,835,205.28/114,920.40
  6. Step 6: Final answer
    x = 77,800.24

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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.