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Finding the Fourth Proportional to 153,396.32, 230,094.64 and 48,224.48

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Solution

The fourth proportional to 153,396.32, 230,094.64 and 48,224.48 is: 72,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,396.32 : 230,094.64 = 48,224.48 : x
  2. Step 2: Convert to fraction form
    153,396.32/230,094.64 = 48,224.48/x
  3. Step 3: Cross multiply
    153,396.32x = 230,094.64 × 48,224.48
  4. Step 4: Simplify right side
    153,396.32x = 11,096,194,364.79
  5. Step 5: Solve for x
    x = 11,096,194,364.79/153,396.32
  6. Step 6: Final answer
    x = 72,336.77

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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.