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Finding the Fourth Proportional to 208,411.92, 312,391.92 and 101,674.32

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Solution

The fourth proportional to 208,411.92, 312,391.92 and 101,674.32 is: 152,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,411.92 : 312,391.92 = 101,674.32 : x
  2. Step 2: Convert to fraction form
    208,411.92/312,391.92 = 101,674.32/x
  3. Step 3: Cross multiply
    208,411.92x = 312,391.92 × 101,674.32
  4. Step 4: Simplify right side
    208,411.92x = 31,762,236,039.49
  5. Step 5: Solve for x
    x = 31,762,236,039.49/208,411.92
  6. Step 6: Final answer
    x = 152,401.24

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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.