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Finding the Fourth Proportional to 277,695.84, 416,443.32 and 100,155.18

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Solution

The fourth proportional to 277,695.84, 416,443.32 and 100,155.18 is: 150,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,695.84 : 416,443.32 = 100,155.18 : x
  2. Step 2: Convert to fraction form
    277,695.84/416,443.32 = 100,155.18/x
  3. Step 3: Cross multiply
    277,695.84x = 416,443.32 × 100,155.18
  4. Step 4: Simplify right side
    277,695.84x = 41,708,955,674.40
  5. Step 5: Solve for x
    x = 41,708,955,674.40/277,695.84
  6. Step 6: Final answer
    x = 150,196.54

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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.