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Finding the Fourth Proportional to 152,232.48, 210,076.50 and 84,252.30

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Solution

The fourth proportional to 152,232.48, 210,076.50 and 84,252.30 is: 116,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,232.48 : 210,076.50 = 84,252.30 : x
  2. Step 2: Convert to fraction form
    152,232.48/210,076.50 = 84,252.30/x
  3. Step 3: Cross multiply
    152,232.48x = 210,076.50 × 84,252.30
  4. Step 4: Simplify right side
    152,232.48x = 17,699,428,300.95
  5. Step 5: Solve for x
    x = 17,699,428,300.95/152,232.48
  6. Step 6: Final answer
    x = 116,265.78

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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.