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Finding the Fourth Proportional to 292,896, 439,083.36 and 105,865.92

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Solution

The fourth proportional to 292,896, 439,083.36 and 105,865.92 is: 158,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,896 : 439,083.36 = 105,865.92 : x
  2. Step 2: Convert to fraction form
    292,896/439,083.36 = 105,865.92/x
  3. Step 3: Cross multiply
    292,896x = 439,083.36 × 105,865.92
  4. Step 4: Simplify right side
    292,896x = 46,483,963,863.09
  5. Step 5: Solve for x
    x = 46,483,963,863.09/292,896
  6. Step 6: Final answer
    x = 158,704.67

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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.