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Finding the Fourth Proportional to 129,346.56, 194,019.60 and 35,852.40

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Solution

The fourth proportional to 129,346.56, 194,019.60 and 35,852.40 is: 53,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,346.56 : 194,019.60 = 35,852.40 : x
  2. Step 2: Convert to fraction form
    129,346.56/194,019.60 = 35,852.40/x
  3. Step 3: Cross multiply
    129,346.56x = 194,019.60 × 35,852.40
  4. Step 4: Simplify right side
    129,346.56x = 6,956,068,307.04
  5. Step 5: Solve for x
    x = 6,956,068,307.04/129,346.56
  6. Step 6: Final answer
    x = 53,778.53

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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.