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Finding the Fourth Proportional to 208,112.60, 312,111.30 and 83,466.20

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Solution

The fourth proportional to 208,112.60, 312,111.30 and 83,466.20 is: 125,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,112.60 : 312,111.30 = 83,466.20 : x
  2. Step 2: Convert to fraction form
    208,112.60/312,111.30 = 83,466.20/x
  3. Step 3: Cross multiply
    208,112.60x = 312,111.30 × 83,466.20
  4. Step 4: Simplify right side
    208,112.60x = 26,050,744,188.06
  5. Step 5: Solve for x
    x = 26,050,744,188.06/208,112.60
  6. Step 6: Final answer
    x = 125,176.20

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1.5x scale

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.