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Finding the Fourth Proportional to 201,377.61, 302,023.86 and 59,184.30

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Solution

The fourth proportional to 201,377.61, 302,023.86 and 59,184.30 is: 88,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,377.61 : 302,023.86 = 59,184.30 : x
  2. Step 2: Convert to fraction form
    201,377.61/302,023.86 = 59,184.30/x
  3. Step 3: Cross multiply
    201,377.61x = 302,023.86 × 59,184.30
  4. Step 4: Simplify right side
    201,377.61x = 17,875,071,648.05
  5. Step 5: Solve for x
    x = 17,875,071,648.05/201,377.61
  6. Step 6: Final answer
    x = 88,763.95

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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.