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Finding the Fourth Proportional to 144,423.63, 216,741.92 and 68,522.49

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Solution

The fourth proportional to 144,423.63, 216,741.92 and 68,522.49 is: 102,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,423.63 : 216,741.92 = 68,522.49 : x
  2. Step 2: Convert to fraction form
    144,423.63/216,741.92 = 68,522.49/x
  3. Step 3: Cross multiply
    144,423.63x = 216,741.92 × 68,522.49
  4. Step 4: Simplify right side
    144,423.63x = 14,851,695,703.17
  5. Step 5: Solve for x
    x = 14,851,695,703.17/144,423.63
  6. Step 6: Final answer
    x = 102,834.25

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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.