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Finding the Fourth Proportional to 86,393, 119,274.18 and 56,636.84

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Solution

The fourth proportional to 86,393, 119,274.18 and 56,636.84 is: 78,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,393 : 119,274.18 = 56,636.84 : x
  2. Step 2: Convert to fraction form
    86,393/119,274.18 = 56,636.84/x
  3. Step 3: Cross multiply
    86,393x = 119,274.18 × 56,636.84
  4. Step 4: Simplify right side
    86,393x = 6,755,312,648.79
  5. Step 5: Solve for x
    x = 6,755,312,648.79/86,393
  6. Step 6: Final answer
    x = 78,192.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.