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Finding the Fourth Proportional to 203,088.34, 304,631.68 and 83,200.95

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Solution

The fourth proportional to 203,088.34, 304,631.68 and 83,200.95 is: 124,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,088.34 : 304,631.68 = 83,200.95 : x
  2. Step 2: Convert to fraction form
    203,088.34/304,631.68 = 83,200.95/x
  3. Step 3: Cross multiply
    203,088.34x = 304,631.68 × 83,200.95
  4. Step 4: Simplify right side
    203,088.34x = 25,345,645,176.10
  5. Step 5: Solve for x
    x = 25,345,645,176.10/203,088.34
  6. Step 6: Final answer
    x = 124,801.08

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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.