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Finding the Fourth Proportional to 150,114, 207,075.42 and 96,407.22

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Solution

The fourth proportional to 150,114, 207,075.42 and 96,407.22 is: 132,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,114 : 207,075.42 = 96,407.22 : x
  2. Step 2: Convert to fraction form
    150,114/207,075.42 = 96,407.22/x
  3. Step 3: Cross multiply
    150,114x = 207,075.42 × 96,407.22
  4. Step 4: Simplify right side
    150,114x = 19,963,565,572.53
  5. Step 5: Solve for x
    x = 19,963,565,572.53/150,114
  6. Step 6: Final answer
    x = 132,989.37

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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.