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Finding the Fourth Proportional to 208,006.40, 312,009.60 and 186,233.60

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Solution

The fourth proportional to 208,006.40, 312,009.60 and 186,233.60 is: 279,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,006.40 : 312,009.60 = 186,233.60 : x
  2. Step 2: Convert to fraction form
    208,006.40/312,009.60 = 186,233.60/x
  3. Step 3: Cross multiply
    208,006.40x = 312,009.60 × 186,233.60
  4. Step 4: Simplify right side
    208,006.40x = 58,106,671,042.56
  5. Step 5: Solve for x
    x = 58,106,671,042.56/208,006.40
  6. Step 6: Final answer
    x = 279,350.40

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1.5x scale

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.