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Finding the Fourth Proportional to 150,136.74, 207,263.71 and 86,462.24

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Solution

The fourth proportional to 150,136.74, 207,263.71 and 86,462.24 is: 119,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,136.74 : 207,263.71 = 86,462.24 : x
  2. Step 2: Convert to fraction form
    150,136.74/207,263.71 = 86,462.24/x
  3. Step 3: Cross multiply
    150,136.74x = 207,263.71 × 86,462.24
  4. Step 4: Simplify right side
    150,136.74x = 17,920,483,709.07
  5. Step 5: Solve for x
    x = 17,920,483,709.07/150,136.74
  6. Step 6: Final answer
    x = 119,361.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.