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Finding the Fourth Proportional to 143,117.76, 214,715.52 and 101,827.20

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Solution

The fourth proportional to 143,117.76, 214,715.52 and 101,827.20 is: 152,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,117.76 : 214,715.52 = 101,827.20 : x
  2. Step 2: Convert to fraction form
    143,117.76/214,715.52 = 101,827.20/x
  3. Step 3: Cross multiply
    143,117.76x = 214,715.52 × 101,827.20
  4. Step 4: Simplify right side
    143,117.76x = 21,863,880,198.14
  5. Step 5: Solve for x
    x = 21,863,880,198.14/143,117.76
  6. Step 6: Final answer
    x = 152,768.46

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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.