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Finding the Fourth Proportional to 196,978.94, 295,425.21 and 56,707.10

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Solution

The fourth proportional to 196,978.94, 295,425.21 and 56,707.10 is: 85,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,978.94 : 295,425.21 = 56,707.10 : x
  2. Step 2: Convert to fraction form
    196,978.94/295,425.21 = 56,707.10/x
  3. Step 3: Cross multiply
    196,978.94x = 295,425.21 × 56,707.10
  4. Step 4: Simplify right side
    196,978.94x = 16,752,706,925.99
  5. Step 5: Solve for x
    x = 16,752,706,925.99/196,978.94
  6. Step 6: Final answer
    x = 85,048.21

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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.