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Finding the Fourth Proportional to 277,505.85, 416,003.63 and 99,969.45

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Solution

The fourth proportional to 277,505.85, 416,003.63 and 99,969.45 is: 149,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,505.85 : 416,003.63 = 99,969.45 : x
  2. Step 2: Convert to fraction form
    277,505.85/416,003.63 = 99,969.45/x
  3. Step 3: Cross multiply
    277,505.85x = 416,003.63 × 99,969.45
  4. Step 4: Simplify right side
    277,505.85x = 41,587,651,509.24
  5. Step 5: Solve for x
    x = 41,587,651,509.24/277,505.85
  6. Step 6: Final answer
    x = 149,862.25

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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.