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Finding the Fourth Proportional to 150,275.66, 225,055.71 and 86,962.32

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Solution

The fourth proportional to 150,275.66, 225,055.71 and 86,962.32 is: 130,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,275.66 : 225,055.71 = 86,962.32 : x
  2. Step 2: Convert to fraction form
    150,275.66/225,055.71 = 86,962.32/x
  3. Step 3: Cross multiply
    150,275.66x = 225,055.71 × 86,962.32
  4. Step 4: Simplify right side
    150,275.66x = 19,571,366,670.85
  5. Step 5: Solve for x
    x = 19,571,366,670.85/150,275.66
  6. Step 6: Final answer
    x = 130,236.44

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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.