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Finding the Fourth Proportional to 145,950.93, 201,412.53 and 82,288.56

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Solution

The fourth proportional to 145,950.93, 201,412.53 and 82,288.56 is: 113,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,950.93 : 201,412.53 = 82,288.56 : x
  2. Step 2: Convert to fraction form
    145,950.93/201,412.53 = 82,288.56/x
  3. Step 3: Cross multiply
    145,950.93x = 201,412.53 × 82,288.56
  4. Step 4: Simplify right side
    145,950.93x = 16,573,947,059.66
  5. Step 5: Solve for x
    x = 16,573,947,059.66/145,950.93
  6. Step 6: Final answer
    x = 113,558.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.