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Finding the Fourth Proportional to 149,030.49, 205,557.98 and 101,200.80

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Solution

The fourth proportional to 149,030.49, 205,557.98 and 101,200.80 is: 139,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,030.49 : 205,557.98 = 101,200.80 : x
  2. Step 2: Convert to fraction form
    149,030.49/205,557.98 = 101,200.80/x
  3. Step 3: Cross multiply
    149,030.49x = 205,557.98 × 101,200.80
  4. Step 4: Simplify right side
    149,030.49x = 20,802,631,516.38
  5. Step 5: Solve for x
    x = 20,802,631,516.38/149,030.49
  6. Step 6: Final answer
    x = 139,586.41

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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.