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Finding the Fourth Proportional to 186,709.36, 280,063.52 and 46,468

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Solution

The fourth proportional to 186,709.36, 280,063.52 and 46,468 is: 69,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,709.36 : 280,063.52 = 46,468 : x
  2. Step 2: Convert to fraction form
    186,709.36/280,063.52 = 46,468/x
  3. Step 3: Cross multiply
    186,709.36x = 280,063.52 × 46,468
  4. Step 4: Simplify right side
    186,709.36x = 13,013,991,647.36
  5. Step 5: Solve for x
    x = 13,013,991,647.36/186,709.36
  6. Step 6: Final answer
    x = 69,701.87

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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.