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Finding the Fourth Proportional to 144,256.36, 216,090.78 and 117,697

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Solution

The fourth proportional to 144,256.36, 216,090.78 and 117,697 is: 176,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,256.36 : 216,090.78 = 117,697 : x
  2. Step 2: Convert to fraction form
    144,256.36/216,090.78 = 117,697/x
  3. Step 3: Cross multiply
    144,256.36x = 216,090.78 × 117,697
  4. Step 4: Simplify right side
    144,256.36x = 25,433,236,533.66
  5. Step 5: Solve for x
    x = 25,433,236,533.66/144,256.36
  6. Step 6: Final answer
    x = 176,305.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.