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Finding the Fourth Proportional to 209,957.70, 314,936.55 and 76,842.30

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Solution

The fourth proportional to 209,957.70, 314,936.55 and 76,842.30 is: 115,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,957.70 : 314,936.55 = 76,842.30 : x
  2. Step 2: Convert to fraction form
    209,957.70/314,936.55 = 76,842.30/x
  3. Step 3: Cross multiply
    209,957.70x = 314,936.55 × 76,842.30
  4. Step 4: Simplify right side
    209,957.70x = 24,200,448,856.07
  5. Step 5: Solve for x
    x = 24,200,448,856.07/209,957.70
  6. Step 6: Final answer
    x = 115,263.45

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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.