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Finding the Fourth Proportional to 209,612.70, 314,390.70 and 83,345.85

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Solution

The fourth proportional to 209,612.70, 314,390.70 and 83,345.85 is: 125,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,612.70 : 314,390.70 = 83,345.85 : x
  2. Step 2: Convert to fraction form
    209,612.70/314,390.70 = 83,345.85/x
  3. Step 3: Cross multiply
    209,612.70x = 314,390.70 × 83,345.85
  4. Step 4: Simplify right side
    209,612.70x = 26,203,160,123.60
  5. Step 5: Solve for x
    x = 26,203,160,123.60/209,612.70
  6. Step 6: Final answer
    x = 125,007.50

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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.