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Finding the Fourth Proportional to 312,192.02, 468,206.06 and 134,659.60

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Solution

The fourth proportional to 312,192.02, 468,206.06 and 134,659.60 is: 201,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,192.02 : 468,206.06 = 134,659.60 : x
  2. Step 2: Convert to fraction form
    312,192.02/468,206.06 = 134,659.60/x
  3. Step 3: Cross multiply
    312,192.02x = 468,206.06 × 134,659.60
  4. Step 4: Simplify right side
    312,192.02x = 63,048,438,913.36
  5. Step 5: Solve for x
    x = 63,048,438,913.36/312,192.02
  6. Step 6: Final answer
    x = 201,954.04

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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.