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Finding the Fourth Proportional to 101,707.68, 152,655.36 and 51,823.44

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Solution

The fourth proportional to 101,707.68, 152,655.36 and 51,823.44 is: 77,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,707.68 : 152,655.36 = 51,823.44 : x
  2. Step 2: Convert to fraction form
    101,707.68/152,655.36 = 51,823.44/x
  3. Step 3: Cross multiply
    101,707.68x = 152,655.36 × 51,823.44
  4. Step 4: Simplify right side
    101,707.68x = 7,911,125,889.64
  5. Step 5: Solve for x
    x = 7,911,125,889.64/101,707.68
  6. Step 6: Final answer
    x = 77,782.97

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1.5x scale

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.