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Finding the Fourth Proportional to 116,254.51, 160,420.14 and 65,255.56

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Solution

The fourth proportional to 116,254.51, 160,420.14 and 65,255.56 is: 90,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,254.51 : 160,420.14 = 65,255.56 : x
  2. Step 2: Convert to fraction form
    116,254.51/160,420.14 = 65,255.56/x
  3. Step 3: Cross multiply
    116,254.51x = 160,420.14 × 65,255.56
  4. Step 4: Simplify right side
    116,254.51x = 10,468,306,070.98
  5. Step 5: Solve for x
    x = 10,468,306,070.98/116,254.51
  6. Step 6: Final answer
    x = 90,046.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.