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Finding the Fourth Proportional to 137,038.69, 205,574.64 and 48,274.03

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Solution

The fourth proportional to 137,038.69, 205,574.64 and 48,274.03 is: 72,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.69 : 205,574.64 = 48,274.03 : x
  2. Step 2: Convert to fraction form
    137,038.69/205,574.64 = 48,274.03/x
  3. Step 3: Cross multiply
    137,038.69x = 205,574.64 × 48,274.03
  4. Step 4: Simplify right side
    137,038.69x = 9,923,916,338.60
  5. Step 5: Solve for x
    x = 9,923,916,338.60/137,038.69
  6. Step 6: Final answer
    x = 72,416.89

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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.