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Finding the Fourth Proportional to 202,697.60, 304,046.40 and 118,716.80

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Solution

The fourth proportional to 202,697.60, 304,046.40 and 118,716.80 is: 178,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,697.60 : 304,046.40 = 118,716.80 : x
  2. Step 2: Convert to fraction form
    202,697.60/304,046.40 = 118,716.80/x
  3. Step 3: Cross multiply
    202,697.60x = 304,046.40 × 118,716.80
  4. Step 4: Simplify right side
    202,697.60x = 36,095,415,659.52
  5. Step 5: Solve for x
    x = 36,095,415,659.52/202,697.60
  6. Step 6: Final answer
    x = 178,075.20

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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.