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Finding the Fourth Proportional to 214,690.38, 296,271.27 and 117,895.98

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Solution

The fourth proportional to 214,690.38, 296,271.27 and 117,895.98 is: 162,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,690.38 : 296,271.27 = 117,895.98 : x
  2. Step 2: Convert to fraction form
    214,690.38/296,271.27 = 117,895.98/x
  3. Step 3: Cross multiply
    214,690.38x = 296,271.27 × 117,895.98
  4. Step 4: Simplify right side
    214,690.38x = 34,929,191,722.49
  5. Step 5: Solve for x
    x = 34,929,191,722.49/214,690.38
  6. Step 6: Final answer
    x = 162,695.65

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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.