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Finding the Fourth Proportional to 129,464.56, 194,196.78 and 35,970.28

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Solution

The fourth proportional to 129,464.56, 194,196.78 and 35,970.28 is: 53,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,464.56 : 194,196.78 = 35,970.28 : x
  2. Step 2: Convert to fraction form
    129,464.56/194,196.78 = 35,970.28/x
  3. Step 3: Cross multiply
    129,464.56x = 194,196.78 × 35,970.28
  4. Step 4: Simplify right side
    129,464.56x = 6,985,312,551.70
  5. Step 5: Solve for x
    x = 6,985,312,551.70/129,464.56
  6. Step 6: Final answer
    x = 53,955.40

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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.