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Finding the Fourth Proportional to 235,639.14, 353,524.59 and 77,978.58

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Solution

The fourth proportional to 235,639.14, 353,524.59 and 77,978.58 is: 116,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,639.14 : 353,524.59 = 77,978.58 : x
  2. Step 2: Convert to fraction form
    235,639.14/353,524.59 = 77,978.58/x
  3. Step 3: Cross multiply
    235,639.14x = 353,524.59 × 77,978.58
  4. Step 4: Simplify right side
    235,639.14x = 27,567,345,523.28
  5. Step 5: Solve for x
    x = 27,567,345,523.28/235,639.14
  6. Step 6: Final answer
    x = 116,989.67

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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.