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Finding the Fourth Proportional to 161,496.72, 241,943.76 and 117,014.76

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Solution

The fourth proportional to 161,496.72, 241,943.76 and 117,014.76 is: 175,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,496.72 : 241,943.76 = 117,014.76 : x
  2. Step 2: Convert to fraction form
    161,496.72/241,943.76 = 117,014.76/x
  3. Step 3: Cross multiply
    161,496.72x = 241,943.76 × 117,014.76
  4. Step 4: Simplify right side
    161,496.72x = 28,310,991,009.90
  5. Step 5: Solve for x
    x = 28,310,991,009.90/161,496.72
  6. Step 6: Final answer
    x = 175,303.81

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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.