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Finding the Fourth Proportional to 205,019.30, 307,528.95 and 94,211.30

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Solution

The fourth proportional to 205,019.30, 307,528.95 and 94,211.30 is: 141,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.30 : 307,528.95 = 94,211.30 : x
  2. Step 2: Convert to fraction form
    205,019.30/307,528.95 = 94,211.30/x
  3. Step 3: Cross multiply
    205,019.30x = 307,528.95 × 94,211.30
  4. Step 4: Simplify right side
    205,019.30x = 28,972,702,167.14
  5. Step 5: Solve for x
    x = 28,972,702,167.14/205,019.30
  6. Step 6: Final answer
    x = 141,316.95

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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.