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Finding the Fourth Proportional to 149,533.42, 224,393.51 and 99,648.52

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Solution

The fourth proportional to 149,533.42, 224,393.51 and 99,648.52 is: 149,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,533.42 : 224,393.51 = 99,648.52 : x
  2. Step 2: Convert to fraction form
    149,533.42/224,393.51 = 99,648.52/x
  3. Step 3: Cross multiply
    149,533.42x = 224,393.51 × 99,648.52
  4. Step 4: Simplify right side
    149,533.42x = 22,360,481,169.11
  5. Step 5: Solve for x
    x = 22,360,481,169.11/149,533.42
  6. Step 6: Final answer
    x = 149,535.01

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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.