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Finding the Fourth Proportional to 134,464.80, 201,697.20 and 35,968.80

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Solution

The fourth proportional to 134,464.80, 201,697.20 and 35,968.80 is: 53,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,464.80 : 201,697.20 = 35,968.80 : x
  2. Step 2: Convert to fraction form
    134,464.80/201,697.20 = 35,968.80/x
  3. Step 3: Cross multiply
    134,464.80x = 201,697.20 × 35,968.80
  4. Step 4: Simplify right side
    134,464.80x = 7,254,806,247.36
  5. Step 5: Solve for x
    x = 7,254,806,247.36/134,464.80
  6. Step 6: Final answer
    x = 53,953.20

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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.