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Finding the Fourth Proportional to 150,642.64, 225,688.56 and 70,533.64

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Solution

The fourth proportional to 150,642.64, 225,688.56 and 70,533.64 is: 105,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642.64 : 225,688.56 = 70,533.64 : x
  2. Step 2: Convert to fraction form
    150,642.64/225,688.56 = 70,533.64/x
  3. Step 3: Cross multiply
    150,642.64x = 225,688.56 × 70,533.64
  4. Step 4: Simplify right side
    150,642.64x = 15,918,635,643.16
  5. Step 5: Solve for x
    x = 15,918,635,643.16/150,642.64
  6. Step 6: Final answer
    x = 105,671.51

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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.