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Finding the Fourth Proportional to 149,574, 224,235.16 and 69,571.33

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Solution

The fourth proportional to 149,574, 224,235.16 and 69,571.33 is: 104,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574 : 224,235.16 = 69,571.33 : x
  2. Step 2: Convert to fraction form
    149,574/224,235.16 = 69,571.33/x
  3. Step 3: Cross multiply
    149,574x = 224,235.16 × 69,571.33
  4. Step 4: Simplify right side
    149,574x = 15,600,338,681.22
  5. Step 5: Solve for x
    x = 15,600,338,681.22/149,574
  6. Step 6: Final answer
    x = 104,298.47

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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.