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Finding the Fourth Proportional to 235,497.43, 353,258.34 and 77,738.23

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Solution

The fourth proportional to 235,497.43, 353,258.34 and 77,738.23 is: 116,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,497.43 : 353,258.34 = 77,738.23 : x
  2. Step 2: Convert to fraction form
    235,497.43/353,258.34 = 77,738.23/x
  3. Step 3: Cross multiply
    235,497.43x = 353,258.34 × 77,738.23
  4. Step 4: Simplify right side
    235,497.43x = 27,461,678,084.34
  5. Step 5: Solve for x
    x = 27,461,678,084.34/235,497.43
  6. Step 6: Final answer
    x = 116,611.37

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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.