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Finding the Fourth Proportional to 141,093.60, 211,640.40 and 109,952.16

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Solution

The fourth proportional to 141,093.60, 211,640.40 and 109,952.16 is: 164,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,093.60 : 211,640.40 = 109,952.16 : x
  2. Step 2: Convert to fraction form
    141,093.60/211,640.40 = 109,952.16/x
  3. Step 3: Cross multiply
    141,093.60x = 211,640.40 × 109,952.16
  4. Step 4: Simplify right side
    141,093.60x = 23,270,319,123.26
  5. Step 5: Solve for x
    x = 23,270,319,123.26/141,093.60
  6. Step 6: Final answer
    x = 164,928.24

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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.