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Finding the Fourth Proportional to 152,328.34, 210,212.94 and 85,260.34

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Solution

The fourth proportional to 152,328.34, 210,212.94 and 85,260.34 is: 117,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,328.34 : 210,212.94 = 85,260.34 : x
  2. Step 2: Convert to fraction form
    152,328.34/210,212.94 = 85,260.34/x
  3. Step 3: Cross multiply
    152,328.34x = 210,212.94 × 85,260.34
  4. Step 4: Simplify right side
    152,328.34x = 17,922,826,736.80
  5. Step 5: Solve for x
    x = 17,922,826,736.80/152,328.34
  6. Step 6: Final answer
    x = 117,659.17

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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.