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Finding the Fourth Proportional to 201,711.90, 302,567.85 and 185,123.10

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Solution

The fourth proportional to 201,711.90, 302,567.85 and 185,123.10 is: 277,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,711.90 : 302,567.85 = 185,123.10 : x
  2. Step 2: Convert to fraction form
    201,711.90/302,567.85 = 185,123.10/x
  3. Step 3: Cross multiply
    201,711.90x = 302,567.85 × 185,123.10
  4. Step 4: Simplify right side
    201,711.90x = 56,012,298,352.34
  5. Step 5: Solve for x
    x = 56,012,298,352.34/201,711.90
  6. Step 6: Final answer
    x = 277,684.65

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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.