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Finding the Fourth Proportional to 127,219.16, 190,916.21 and 44,113.16

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Solution

The fourth proportional to 127,219.16, 190,916.21 and 44,113.16 is: 66,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,219.16 : 190,916.21 = 44,113.16 : x
  2. Step 2: Convert to fraction form
    127,219.16/190,916.21 = 44,113.16/x
  3. Step 3: Cross multiply
    127,219.16x = 190,916.21 × 44,113.16
  4. Step 4: Simplify right side
    127,219.16x = 8,421,916,143.18
  5. Step 5: Solve for x
    x = 8,421,916,143.18/127,219.16
  6. Step 6: Final answer
    x = 66,200.06

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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.