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Finding the Fourth Proportional to 355,106.24, 532,641.24 and 130,449.44

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Solution

The fourth proportional to 355,106.24, 532,641.24 and 130,449.44 is: 195,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,106.24 : 532,641.24 = 130,449.44 : x
  2. Step 2: Convert to fraction form
    355,106.24/532,641.24 = 130,449.44/x
  3. Step 3: Cross multiply
    355,106.24x = 532,641.24 × 130,449.44
  4. Step 4: Simplify right side
    355,106.24x = 69,482,751,478.91
  5. Step 5: Solve for x
    x = 69,482,751,478.91/355,106.24
  6. Step 6: Final answer
    x = 195,667.50

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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.