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Finding the Fourth Proportional to 201,895.60, 302,843.40 and 186,689.20

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Solution

The fourth proportional to 201,895.60, 302,843.40 and 186,689.20 is: 280,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,895.60 : 302,843.40 = 186,689.20 : x
  2. Step 2: Convert to fraction form
    201,895.60/302,843.40 = 186,689.20/x
  3. Step 3: Cross multiply
    201,895.60x = 302,843.40 × 186,689.20
  4. Step 4: Simplify right side
    201,895.60x = 56,537,592,071.28
  5. Step 5: Solve for x
    x = 56,537,592,071.28/201,895.60
  6. Step 6: Final answer
    x = 280,033.80

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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.