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Finding the Fourth Proportional to 144,043, 216,344.60 and 117,408.54

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Solution

The fourth proportional to 144,043, 216,344.60 and 117,408.54 is: 176,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,043 : 216,344.60 = 117,408.54 : x
  2. Step 2: Convert to fraction form
    144,043/216,344.60 = 117,408.54/x
  3. Step 3: Cross multiply
    144,043x = 216,344.60 × 117,408.54
  4. Step 4: Simplify right side
    144,043x = 25,400,703,622.88
  5. Step 5: Solve for x
    x = 25,400,703,622.88/144,043
  6. Step 6: Final answer
    x = 176,341.12

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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.