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Finding the Fourth Proportional to 201,677.60, 302,516.40 and 186,471.20

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Solution

The fourth proportional to 201,677.60, 302,516.40 and 186,471.20 is: 279,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,677.60 : 302,516.40 = 186,471.20 : x
  2. Step 2: Convert to fraction form
    201,677.60/302,516.40 = 186,471.20/x
  3. Step 3: Cross multiply
    201,677.60x = 302,516.40 × 186,471.20
  4. Step 4: Simplify right side
    201,677.60x = 56,410,596,127.68
  5. Step 5: Solve for x
    x = 56,410,596,127.68/201,677.60
  6. Step 6: Final answer
    x = 279,706.80

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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.