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Finding the Fourth Proportional to 118,643.01, 163,803.77 and 105,874.24

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Solution

The fourth proportional to 118,643.01, 163,803.77 and 105,874.24 is: 146,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,643.01 : 163,803.77 = 105,874.24 : x
  2. Step 2: Convert to fraction form
    118,643.01/163,803.77 = 105,874.24/x
  3. Step 3: Cross multiply
    118,643.01x = 163,803.77 × 105,874.24
  4. Step 4: Simplify right side
    118,643.01x = 17,342,598,971.21
  5. Step 5: Solve for x
    x = 17,342,598,971.21/118,643.01
  6. Step 6: Final answer
    x = 146,174.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.