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Finding the Fourth Proportional to 164,876.93, 247,232.23 and 117,464.93

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Solution

The fourth proportional to 164,876.93, 247,232.23 and 117,464.93 is: 176,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,876.93 : 247,232.23 = 117,464.93 : x
  2. Step 2: Convert to fraction form
    164,876.93/247,232.23 = 117,464.93/x
  3. Step 3: Cross multiply
    164,876.93x = 247,232.23 × 117,464.93
  4. Step 4: Simplify right side
    164,876.93x = 29,041,116,590.69
  5. Step 5: Solve for x
    x = 29,041,116,590.69/164,876.93
  6. Step 6: Final answer
    x = 176,138.14

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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.