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Finding the Fourth Proportional to 149,507.70, 224,261.55 and 102,618.42

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Solution

The fourth proportional to 149,507.70, 224,261.55 and 102,618.42 is: 153,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,507.70 : 224,261.55 = 102,618.42 : x
  2. Step 2: Convert to fraction form
    149,507.70/224,261.55 = 102,618.42/x
  3. Step 3: Cross multiply
    149,507.70x = 224,261.55 × 102,618.42
  4. Step 4: Simplify right side
    149,507.70x = 23,013,365,927.75
  5. Step 5: Solve for x
    x = 23,013,365,927.75/149,507.70
  6. Step 6: Final answer
    x = 153,927.63

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1.5x scale

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.