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Finding the Fourth Proportional to 152,519.73, 210,489.84 and 84,558.03

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Solution

The fourth proportional to 152,519.73, 210,489.84 and 84,558.03 is: 116,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,519.73 : 210,489.84 = 84,558.03 : x
  2. Step 2: Convert to fraction form
    152,519.73/210,489.84 = 84,558.03/x
  3. Step 3: Cross multiply
    152,519.73x = 210,489.84 × 84,558.03
  4. Step 4: Simplify right side
    152,519.73x = 17,798,606,600.08
  5. Step 5: Solve for x
    x = 17,798,606,600.08/152,519.73
  6. Step 6: Final answer
    x = 116,697.08

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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.