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Finding the Fourth Proportional to 153,048.82, 228,415.87 and 149,063.01

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Solution

The fourth proportional to 153,048.82, 228,415.87 and 149,063.01 is: 222,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,048.82 : 228,415.87 = 149,063.01 : x
  2. Step 2: Convert to fraction form
    153,048.82/228,415.87 = 149,063.01/x
  3. Step 3: Cross multiply
    153,048.82x = 228,415.87 × 149,063.01
  4. Step 4: Simplify right side
    153,048.82x = 34,048,357,113.97
  5. Step 5: Solve for x
    x = 34,048,357,113.97/153,048.82
  6. Step 6: Final answer
    x = 222,467.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.