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Finding the Fourth Proportional to 125,412.01, 188,124.30 and 41,138.08

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Solution

The fourth proportional to 125,412.01, 188,124.30 and 41,138.08 is: 61,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,412.01 : 188,124.30 = 41,138.08 : x
  2. Step 2: Convert to fraction form
    125,412.01/188,124.30 = 41,138.08/x
  3. Step 3: Cross multiply
    125,412.01x = 188,124.30 × 41,138.08
  4. Step 4: Simplify right side
    125,412.01x = 7,739,072,503.34
  5. Step 5: Solve for x
    x = 7,739,072,503.34/125,412.01
  6. Step 6: Final answer
    x = 61,709.18

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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.