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Finding the Fourth Proportional to 152,229.84, 210,085.32 and 85,150.16

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Solution

The fourth proportional to 152,229.84, 210,085.32 and 85,150.16 is: 117,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,229.84 : 210,085.32 = 85,150.16 : x
  2. Step 2: Convert to fraction form
    152,229.84/210,085.32 = 85,150.16/x
  3. Step 3: Cross multiply
    152,229.84x = 210,085.32 × 85,150.16
  4. Step 4: Simplify right side
    152,229.84x = 17,888,798,611.65
  5. Step 5: Solve for x
    x = 17,888,798,611.65/152,229.84
  6. Step 6: Final answer
    x = 117,511.77

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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.