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Finding the Fourth Proportional to 196,748.64, 295,050.24 and 70,354.80

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Solution

The fourth proportional to 196,748.64, 295,050.24 and 70,354.80 is: 105,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,748.64 : 295,050.24 = 70,354.80 : x
  2. Step 2: Convert to fraction form
    196,748.64/295,050.24 = 70,354.80/x
  3. Step 3: Cross multiply
    196,748.64x = 295,050.24 × 70,354.80
  4. Step 4: Simplify right side
    196,748.64x = 20,758,200,625.15
  5. Step 5: Solve for x
    x = 20,758,200,625.15/196,748.64
  6. Step 6: Final answer
    x = 105,506.20

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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.