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Finding the Fourth Proportional to 277,698.12, 416,461.08 and 100,182.06

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Solution

The fourth proportional to 277,698.12, 416,461.08 and 100,182.06 is: 150,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,698.12 : 416,461.08 = 100,182.06 : x
  2. Step 2: Convert to fraction form
    277,698.12/416,461.08 = 100,182.06/x
  3. Step 3: Cross multiply
    277,698.12x = 416,461.08 × 100,182.06
  4. Step 4: Simplify right side
    277,698.12x = 41,721,928,904.22
  5. Step 5: Solve for x
    x = 41,721,928,904.22/277,698.12
  6. Step 6: Final answer
    x = 150,242.03

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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.