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Finding the Fourth Proportional to 208,886.40, 313,329.60 and 186,141.60

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Solution

The fourth proportional to 208,886.40, 313,329.60 and 186,141.60 is: 279,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,886.40 : 313,329.60 = 186,141.60 : x
  2. Step 2: Convert to fraction form
    208,886.40/313,329.60 = 186,141.60/x
  3. Step 3: Cross multiply
    208,886.40x = 313,329.60 × 186,141.60
  4. Step 4: Simplify right side
    208,886.40x = 58,323,673,071.36
  5. Step 5: Solve for x
    x = 58,323,673,071.36/208,886.40
  6. Step 6: Final answer
    x = 279,212.40

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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.