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Finding the Fourth Proportional to 109,249.66, 163,828.14 and 46,098.10

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Solution

The fourth proportional to 109,249.66, 163,828.14 and 46,098.10 is: 69,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,249.66 : 163,828.14 = 46,098.10 : x
  2. Step 2: Convert to fraction form
    109,249.66/163,828.14 = 46,098.10/x
  3. Step 3: Cross multiply
    109,249.66x = 163,828.14 × 46,098.10
  4. Step 4: Simplify right side
    109,249.66x = 7,552,165,980.53
  5. Step 5: Solve for x
    x = 7,552,165,980.53/109,249.66
  6. Step 6: Final answer
    x = 69,127.59

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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.