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Finding the Fourth Proportional to 150,232, 207,324.48 and 83,168.32

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Solution

The fourth proportional to 150,232, 207,324.48 and 83,168.32 is: 114,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,232 : 207,324.48 = 83,168.32 : x
  2. Step 2: Convert to fraction form
    150,232/207,324.48 = 83,168.32/x
  3. Step 3: Cross multiply
    150,232x = 207,324.48 × 83,168.32
  4. Step 4: Simplify right side
    150,232x = 17,242,828,696.47
  5. Step 5: Solve for x
    x = 17,242,828,696.47/150,232
  6. Step 6: Final answer
    x = 114,774.67

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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.