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Finding the Fourth Proportional to 152,036, 209,805.84 and 84,968.48

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Solution

The fourth proportional to 152,036, 209,805.84 and 84,968.48 is: 117,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,036 : 209,805.84 = 84,968.48 : x
  2. Step 2: Convert to fraction form
    152,036/209,805.84 = 84,968.48/x
  3. Step 3: Cross multiply
    152,036x = 209,805.84 × 84,968.48
  4. Step 4: Simplify right side
    152,036x = 17,826,883,319.92
  5. Step 5: Solve for x
    x = 17,826,883,319.92/152,036
  6. Step 6: Final answer
    x = 117,254.36

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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.