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Finding the Fourth Proportional to 144,003.70, 215,746.35 and 117,565.30

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Solution

The fourth proportional to 144,003.70, 215,746.35 and 117,565.30 is: 176,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,003.70 : 215,746.35 = 117,565.30 : x
  2. Step 2: Convert to fraction form
    144,003.70/215,746.35 = 117,565.30/x
  3. Step 3: Cross multiply
    144,003.70x = 215,746.35 × 117,565.30
  4. Step 4: Simplify right side
    144,003.70x = 25,364,284,361.66
  5. Step 5: Solve for x
    x = 25,364,284,361.66/144,003.70
  6. Step 6: Final answer
    x = 176,136.34

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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.