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Finding the Fourth Proportional to 101,615.13, 152,516.25 and 51,730.88

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Solution

The fourth proportional to 101,615.13, 152,516.25 and 51,730.88 is: 77,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,615.13 : 152,516.25 = 51,730.88 : x
  2. Step 2: Convert to fraction form
    101,615.13/152,516.25 = 51,730.88/x
  3. Step 3: Cross multiply
    101,615.13x = 152,516.25 × 51,730.88
  4. Step 4: Simplify right side
    101,615.13x = 7,889,799,064.22
  5. Step 5: Solve for x
    x = 7,889,799,064.22/101,615.13
  6. Step 6: Final answer
    x = 77,643.94

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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.