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Finding the Fourth Proportional to 423,037.12, 634,614 and 142,634.56

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Solution

The fourth proportional to 423,037.12, 634,614 and 142,634.56 is: 213,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,037.12 : 634,614 = 142,634.56 : x
  2. Step 2: Convert to fraction form
    423,037.12/634,614 = 142,634.56/x
  3. Step 3: Cross multiply
    423,037.12x = 634,614 × 142,634.56
  4. Step 4: Simplify right side
    423,037.12x = 90,517,888,659.84
  5. Step 5: Solve for x
    x = 90,517,888,659.84/423,037.12
  6. Step 6: Final answer
    x = 213,971.50

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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.