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Finding the Fourth Proportional to 170,706.07, 235,464.73 and 103,638.07

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Solution

The fourth proportional to 170,706.07, 235,464.73 and 103,638.07 is: 142,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,706.07 : 235,464.73 = 103,638.07 : x
  2. Step 2: Convert to fraction form
    170,706.07/235,464.73 = 103,638.07/x
  3. Step 3: Cross multiply
    170,706.07x = 235,464.73 × 103,638.07
  4. Step 4: Simplify right side
    170,706.07x = 24,403,110,170.27
  5. Step 5: Solve for x
    x = 24,403,110,170.27/170,706.07
  6. Step 6: Final answer
    x = 142,953.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.