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Finding the Fourth Proportional to 213,670.84, 294,853.80 and 116,855.44

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Solution

The fourth proportional to 213,670.84, 294,853.80 and 116,855.44 is: 161,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,670.84 : 294,853.80 = 116,855.44 : x
  2. Step 2: Convert to fraction form
    213,670.84/294,853.80 = 116,855.44/x
  3. Step 3: Cross multiply
    213,670.84x = 294,853.80 × 116,855.44
  4. Step 4: Simplify right side
    213,670.84x = 34,455,270,534.67
  5. Step 5: Solve for x
    x = 34,455,270,534.67/213,670.84
  6. Step 6: Final answer
    x = 161,253.97

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1.5x scale

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.