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Finding the Fourth Proportional to 201,885.10, 302,827.65 and 186,678.70

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Solution

The fourth proportional to 201,885.10, 302,827.65 and 186,678.70 is: 280,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,885.10 : 302,827.65 = 186,678.70 : x
  2. Step 2: Convert to fraction form
    201,885.10/302,827.65 = 186,678.70/x
  3. Step 3: Cross multiply
    201,885.10x = 302,827.65 × 186,678.70
  4. Step 4: Simplify right side
    201,885.10x = 56,531,472,026.06
  5. Step 5: Solve for x
    x = 56,531,472,026.06/201,885.10
  6. Step 6: Final answer
    x = 280,018.05

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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.