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Finding the Fourth Proportional to 209,886.60, 314,902.80 and 91,642.80

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Solution

The fourth proportional to 209,886.60, 314,902.80 and 91,642.80 is: 137,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,886.60 : 314,902.80 = 91,642.80 : x
  2. Step 2: Convert to fraction form
    209,886.60/314,902.80 = 91,642.80/x
  3. Step 3: Cross multiply
    209,886.60x = 314,902.80 × 91,642.80
  4. Step 4: Simplify right side
    209,886.60x = 28,858,574,319.84
  5. Step 5: Solve for x
    x = 28,858,574,319.84/209,886.60
  6. Step 6: Final answer
    x = 137,496.03

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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.