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Finding the Fourth Proportional to 152,809.33, 210,877.69 and 84,825.22

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Solution

The fourth proportional to 152,809.33, 210,877.69 and 84,825.22 is: 117,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809.33 : 210,877.69 = 84,825.22 : x
  2. Step 2: Convert to fraction form
    152,809.33/210,877.69 = 84,825.22/x
  3. Step 3: Cross multiply
    152,809.33x = 210,877.69 × 84,825.22
  4. Step 4: Simplify right side
    152,809.33x = 17,887,745,392.95
  5. Step 5: Solve for x
    x = 17,887,745,392.95/152,809.33
  6. Step 6: Final answer
    x = 117,059.25

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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.