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Finding the Fourth Proportional to 208,230.16, 312,358.92 and 83,554.96

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Solution

The fourth proportional to 208,230.16, 312,358.92 and 83,554.96 is: 125,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230.16 : 312,358.92 = 83,554.96 : x
  2. Step 2: Convert to fraction form
    208,230.16/312,358.92 = 83,554.96/x
  3. Step 3: Cross multiply
    208,230.16x = 312,358.92 × 83,554.96
  4. Step 4: Simplify right side
    208,230.16x = 26,099,137,066.24
  5. Step 5: Solve for x
    x = 26,099,137,066.24/208,230.16
  6. Step 6: Final answer
    x = 125,337.93

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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.