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Finding the Fourth Proportional to 210,336.28, 315,659.94 and 77,299

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Solution

The fourth proportional to 210,336.28, 315,659.94 and 77,299 is: 116,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,336.28 : 315,659.94 = 77,299 : x
  2. Step 2: Convert to fraction form
    210,336.28/315,659.94 = 77,299/x
  3. Step 3: Cross multiply
    210,336.28x = 315,659.94 × 77,299
  4. Step 4: Simplify right side
    210,336.28x = 24,400,197,702.06
  5. Step 5: Solve for x
    x = 24,400,197,702.06/210,336.28
  6. Step 6: Final answer
    x = 116,005.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.