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Finding the Fourth Proportional to 169,014.88, 253,347.13 and 105,689.67

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Solution

The fourth proportional to 169,014.88, 253,347.13 and 105,689.67 is: 158,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,014.88 : 253,347.13 = 105,689.67 : x
  2. Step 2: Convert to fraction form
    169,014.88/253,347.13 = 105,689.67/x
  3. Step 3: Cross multiply
    169,014.88x = 253,347.13 × 105,689.67
  4. Step 4: Simplify right side
    169,014.88x = 26,776,174,757.00
  5. Step 5: Solve for x
    x = 26,776,174,757.00/169,014.88
  6. Step 6: Final answer
    x = 158,424.96

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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.