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Finding the Fourth Proportional to 210,853.70, 316,426.35 and 151,731.80

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Solution

The fourth proportional to 210,853.70, 316,426.35 and 151,731.80 is: 227,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,853.70 : 316,426.35 = 151,731.80 : x
  2. Step 2: Convert to fraction form
    210,853.70/316,426.35 = 151,731.80/x
  3. Step 3: Cross multiply
    210,853.70x = 316,426.35 × 151,731.80
  4. Step 4: Simplify right side
    210,853.70x = 48,011,939,652.93
  5. Step 5: Solve for x
    x = 48,011,939,652.93/210,853.70
  6. Step 6: Final answer
    x = 227,702.62

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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.