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Finding the Fourth Proportional to 277,657.92, 383,166.16 and 150,333.12

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Solution

The fourth proportional to 277,657.92, 383,166.16 and 150,333.12 is: 207,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,657.92 : 383,166.16 = 150,333.12 : x
  2. Step 2: Convert to fraction form
    277,657.92/383,166.16 = 150,333.12/x
  3. Step 3: Cross multiply
    277,657.92x = 383,166.16 × 150,333.12
  4. Step 4: Simplify right side
    277,657.92x = 57,602,564,311.22
  5. Step 5: Solve for x
    x = 57,602,564,311.22/277,657.92
  6. Step 6: Final answer
    x = 207,458.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.