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Finding the Fourth Proportional to 144,223.96, 216,102.66 and 117,941.08

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Solution

The fourth proportional to 144,223.96, 216,102.66 and 117,941.08 is: 176,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,223.96 : 216,102.66 = 117,941.08 : x
  2. Step 2: Convert to fraction form
    144,223.96/216,102.66 = 117,941.08/x
  3. Step 3: Cross multiply
    144,223.96x = 216,102.66 × 117,941.08
  4. Step 4: Simplify right side
    144,223.96x = 25,487,381,111.27
  5. Step 5: Solve for x
    x = 25,487,381,111.27/144,223.96
  6. Step 6: Final answer
    x = 176,720.85

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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.