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Finding the Fourth Proportional to 277,822.01, 416,733.02 and 67,458.53

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Solution

The fourth proportional to 277,822.01, 416,733.02 and 67,458.53 is: 101,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,822.01 : 416,733.02 = 67,458.53 : x
  2. Step 2: Convert to fraction form
    277,822.01/416,733.02 = 67,458.53/x
  3. Step 3: Cross multiply
    277,822.01x = 416,733.02 × 67,458.53
  4. Step 4: Simplify right side
    277,822.01x = 28,112,196,931.66
  5. Step 5: Solve for x
    x = 28,112,196,931.66/277,822.01
  6. Step 6: Final answer
    x = 101,187.80

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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.