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Finding the Fourth Proportional to 208,047.40, 312,071.10 and 205,973.80

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Solution

The fourth proportional to 208,047.40, 312,071.10 and 205,973.80 is: 308,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047.40 : 312,071.10 = 205,973.80 : x
  2. Step 2: Convert to fraction form
    208,047.40/312,071.10 = 205,973.80/x
  3. Step 3: Cross multiply
    208,047.40x = 312,071.10 × 205,973.80
  4. Step 4: Simplify right side
    208,047.40x = 64,278,470,337.18
  5. Step 5: Solve for x
    x = 64,278,470,337.18/208,047.40
  6. Step 6: Final answer
    x = 308,960.70

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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.