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Finding the Fourth Proportional to 190,702.16, 285,988.44 and 66,014

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Solution

The fourth proportional to 190,702.16, 285,988.44 and 66,014 is: 98,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,702.16 : 285,988.44 = 66,014 : x
  2. Step 2: Convert to fraction form
    190,702.16/285,988.44 = 66,014/x
  3. Step 3: Cross multiply
    190,702.16x = 285,988.44 × 66,014
  4. Step 4: Simplify right side
    190,702.16x = 18,879,240,878.16
  5. Step 5: Solve for x
    x = 18,879,240,878.16/190,702.16
  6. Step 6: Final answer
    x = 98,998.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.