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Finding the Fourth Proportional to 301,135.14, 415,601.22 and 180,276.36

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Solution

The fourth proportional to 301,135.14, 415,601.22 and 180,276.36 is: 248,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135.14 : 415,601.22 = 180,276.36 : x
  2. Step 2: Convert to fraction form
    301,135.14/415,601.22 = 180,276.36/x
  3. Step 3: Cross multiply
    301,135.14x = 415,601.22 × 180,276.36
  4. Step 4: Simplify right side
    301,135.14x = 74,923,075,153.16
  5. Step 5: Solve for x
    x = 74,923,075,153.16/301,135.14
  6. Step 6: Final answer
    x = 248,802.17

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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.