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Finding the Fourth Proportional to 253,454.42, 349,845 and 146,096.21

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Solution

The fourth proportional to 253,454.42, 349,845 and 146,096.21 is: 201,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,454.42 : 349,845 = 146,096.21 : x
  2. Step 2: Convert to fraction form
    253,454.42/349,845 = 146,096.21/x
  3. Step 3: Cross multiply
    253,454.42x = 349,845 × 146,096.21
  4. Step 4: Simplify right side
    253,454.42x = 51,111,028,587.45
  5. Step 5: Solve for x
    x = 51,111,028,587.45/253,454.42
  6. Step 6: Final answer
    x = 201,657.67

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1.5x scale

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.