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Finding the Fourth Proportional to 307,055.82, 460,721.97 and 166,603.98

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Solution

The fourth proportional to 307,055.82, 460,721.97 and 166,603.98 is: 249,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,055.82 : 460,721.97 = 166,603.98 : x
  2. Step 2: Convert to fraction form
    307,055.82/460,721.97 = 166,603.98/x
  3. Step 3: Cross multiply
    307,055.82x = 460,721.97 × 166,603.98
  4. Step 4: Simplify right side
    307,055.82x = 76,758,113,875.44
  5. Step 5: Solve for x
    x = 76,758,113,875.44/307,055.82
  6. Step 6: Final answer
    x = 249,980.98

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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.