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Finding the Fourth Proportional to 209,298.60, 314,020.80 and 91,054.80

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Solution

The fourth proportional to 209,298.60, 314,020.80 and 91,054.80 is: 136,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,298.60 : 314,020.80 = 91,054.80 : x
  2. Step 2: Convert to fraction form
    209,298.60/314,020.80 = 91,054.80/x
  3. Step 3: Cross multiply
    209,298.60x = 314,020.80 × 91,054.80
  4. Step 4: Simplify right side
    209,298.60x = 28,593,101,139.84
  5. Step 5: Solve for x
    x = 28,593,101,139.84/209,298.60
  6. Step 6: Final answer
    x = 136,613.91

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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.