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Finding the Fourth Proportional to 210,872.60, 316,308.90 and 201,771.80

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Solution

The fourth proportional to 210,872.60, 316,308.90 and 201,771.80 is: 302,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,872.60 : 316,308.90 = 201,771.80 : x
  2. Step 2: Convert to fraction form
    210,872.60/316,308.90 = 201,771.80/x
  3. Step 3: Cross multiply
    210,872.60x = 316,308.90 × 201,771.80
  4. Step 4: Simplify right side
    210,872.60x = 63,822,216,109.02
  5. Step 5: Solve for x
    x = 63,822,216,109.02/210,872.60
  6. Step 6: Final answer
    x = 302,657.70

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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.