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Finding the Fourth Proportional to 130,073.16, 195,109.79 and 36,578.91

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Solution

The fourth proportional to 130,073.16, 195,109.79 and 36,578.91 is: 54,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,073.16 : 195,109.79 = 36,578.91 : x
  2. Step 2: Convert to fraction form
    130,073.16/195,109.79 = 36,578.91/x
  3. Step 3: Cross multiply
    130,073.16x = 195,109.79 × 36,578.91
  4. Step 4: Simplify right side
    130,073.16x = 7,136,903,265.63
  5. Step 5: Solve for x
    x = 7,136,903,265.63/130,073.16
  6. Step 6: Final answer
    x = 54,868.38

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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.