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Finding the Fourth Proportional to 149,532.42, 224,392.01 and 99,647.52

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Solution

The fourth proportional to 149,532.42, 224,392.01 and 99,647.52 is: 149,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,532.42 : 224,392.01 = 99,647.52 : x
  2. Step 2: Convert to fraction form
    149,532.42/224,392.01 = 99,647.52/x
  3. Step 3: Cross multiply
    149,532.42x = 224,392.01 × 99,647.52
  4. Step 4: Simplify right side
    149,532.42x = 22,360,106,806.08
  5. Step 5: Solve for x
    x = 22,360,106,806.08/149,532.42
  6. Step 6: Final answer
    x = 149,533.50

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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.