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Finding the Fourth Proportional to 201,881.60, 302,822.40 and 186,675.20

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Solution

The fourth proportional to 201,881.60, 302,822.40 and 186,675.20 is: 280,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,881.60 : 302,822.40 = 186,675.20 : x
  2. Step 2: Convert to fraction form
    201,881.60/302,822.40 = 186,675.20/x
  3. Step 3: Cross multiply
    201,881.60x = 302,822.40 × 186,675.20
  4. Step 4: Simplify right side
    201,881.60x = 56,529,432,084.48
  5. Step 5: Solve for x
    x = 56,529,432,084.48/201,881.60
  6. Step 6: Final answer
    x = 280,012.80

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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.