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Finding the Fourth Proportional to 312,080.32, 468,133.44 and 101,720.08

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Solution

The fourth proportional to 312,080.32, 468,133.44 and 101,720.08 is: 152,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,080.32 : 468,133.44 = 101,720.08 : x
  2. Step 2: Convert to fraction form
    312,080.32/468,133.44 = 101,720.08/x
  3. Step 3: Cross multiply
    312,080.32x = 468,133.44 × 101,720.08
  4. Step 4: Simplify right side
    312,080.32x = 47,618,570,967.48
  5. Step 5: Solve for x
    x = 47,618,570,967.48/312,080.32
  6. Step 6: Final answer
    x = 152,584.34

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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.