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Finding the Fourth Proportional to 152,542.53, 210,494.68 and 84,556.24

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Solution

The fourth proportional to 152,542.53, 210,494.68 and 84,556.24 is: 116,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,542.53 : 210,494.68 = 84,556.24 : x
  2. Step 2: Convert to fraction form
    152,542.53/210,494.68 = 84,556.24/x
  3. Step 3: Cross multiply
    152,542.53x = 210,494.68 × 84,556.24
  4. Step 4: Simplify right side
    152,542.53x = 17,798,637,943.18
  5. Step 5: Solve for x
    x = 17,798,637,943.18/152,542.53
  6. Step 6: Final answer
    x = 116,679.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.