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Finding the Fourth Proportional to 125,362.78, 188,071.85 and 46,477.01

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Solution

The fourth proportional to 125,362.78, 188,071.85 and 46,477.01 is: 69,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,362.78 : 188,071.85 = 46,477.01 : x
  2. Step 2: Convert to fraction form
    125,362.78/188,071.85 = 46,477.01/x
  3. Step 3: Cross multiply
    125,362.78x = 188,071.85 × 46,477.01
  4. Step 4: Simplify right side
    125,362.78x = 8,741,016,429.00
  5. Step 5: Solve for x
    x = 8,741,016,429.00/125,362.78
  6. Step 6: Final answer
    x = 69,725.77

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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.