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Finding the Fourth Proportional to 193,989.80, 291,203.40 and 149,812.40

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Solution

The fourth proportional to 193,989.80, 291,203.40 and 149,812.40 is: 224,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,989.80 : 291,203.40 = 149,812.40 : x
  2. Step 2: Convert to fraction form
    193,989.80/291,203.40 = 149,812.40/x
  3. Step 3: Cross multiply
    193,989.80x = 291,203.40 × 149,812.40
  4. Step 4: Simplify right side
    193,989.80x = 43,625,880,242.16
  5. Step 5: Solve for x
    x = 43,625,880,242.16/193,989.80
  6. Step 6: Final answer
    x = 224,887.50

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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.