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Finding the Fourth Proportional to 152,777.22, 210,834.81 and 84,798.56

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Solution

The fourth proportional to 152,777.22, 210,834.81 and 84,798.56 is: 117,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,777.22 : 210,834.81 = 84,798.56 : x
  2. Step 2: Convert to fraction form
    152,777.22/210,834.81 = 84,798.56/x
  3. Step 3: Cross multiply
    152,777.22x = 210,834.81 × 84,798.56
  4. Step 4: Simplify right side
    152,777.22x = 17,878,487,231.70
  5. Step 5: Solve for x
    x = 17,878,487,231.70/152,777.22
  6. Step 6: Final answer
    x = 117,023.25

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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.