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Finding the Fourth Proportional to 125,653.80, 188,478.09 and 41,419.02

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Solution

The fourth proportional to 125,653.80, 188,478.09 and 41,419.02 is: 62,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,653.80 : 188,478.09 = 41,419.02 : x
  2. Step 2: Convert to fraction form
    125,653.80/188,478.09 = 41,419.02/x
  3. Step 3: Cross multiply
    125,653.80x = 188,478.09 × 41,419.02
  4. Step 4: Simplify right side
    125,653.80x = 7,806,577,779.27
  5. Step 5: Solve for x
    x = 7,806,577,779.27/125,653.80
  6. Step 6: Final answer
    x = 62,127.67

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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.