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Finding the Fourth Proportional to 121,509.14, 182,269.23 and 37,263.14

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Solution

The fourth proportional to 121,509.14, 182,269.23 and 37,263.14 is: 55,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,509.14 : 182,269.23 = 37,263.14 : x
  2. Step 2: Convert to fraction form
    121,509.14/182,269.23 = 37,263.14/x
  3. Step 3: Cross multiply
    121,509.14x = 182,269.23 × 37,263.14
  4. Step 4: Simplify right side
    121,509.14x = 6,791,923,835.18
  5. Step 5: Solve for x
    x = 6,791,923,835.18/121,509.14
  6. Step 6: Final answer
    x = 55,896.40

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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.