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Finding the Fourth Proportional to 456,701.01, 685,137.60 and 141,084.06

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Solution

The fourth proportional to 456,701.01, 685,137.60 and 141,084.06 is: 211,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,701.01 : 685,137.60 = 141,084.06 : x
  2. Step 2: Convert to fraction form
    456,701.01/685,137.60 = 141,084.06/x
  3. Step 3: Cross multiply
    456,701.01x = 685,137.60 × 141,084.06
  4. Step 4: Simplify right side
    456,701.01x = 96,661,994,266.66
  5. Step 5: Solve for x
    x = 96,661,994,266.66/456,701.01
  6. Step 6: Final answer
    x = 211,652.68

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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.