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Finding the Fourth Proportional to 152,784.90, 210,832.74 and 84,799.44

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Solution

The fourth proportional to 152,784.90, 210,832.74 and 84,799.44 is: 117,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,784.90 : 210,832.74 = 84,799.44 : x
  2. Step 2: Convert to fraction form
    152,784.90/210,832.74 = 84,799.44/x
  3. Step 3: Cross multiply
    152,784.90x = 210,832.74 × 84,799.44
  4. Step 4: Simplify right side
    152,784.90x = 17,878,498,285.67
  5. Step 5: Solve for x
    x = 17,878,498,285.67/152,784.90
  6. Step 6: Final answer
    x = 117,017.44

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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.