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Finding the Fourth Proportional to 196,553.94, 294,829.29 and 56,312.70

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Solution

The fourth proportional to 196,553.94, 294,829.29 and 56,312.70 is: 84,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,553.94 : 294,829.29 = 56,312.70 : x
  2. Step 2: Convert to fraction form
    196,553.94/294,829.29 = 56,312.70/x
  3. Step 3: Cross multiply
    196,553.94x = 294,829.29 × 56,312.70
  4. Step 4: Simplify right side
    196,553.94x = 16,602,633,358.98
  5. Step 5: Solve for x
    x = 16,602,633,358.98/196,553.94
  6. Step 6: Final answer
    x = 84,468.59

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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.