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Finding the Fourth Proportional to 152,751.96, 210,790.26 and 84,768.12

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Solution

The fourth proportional to 152,751.96, 210,790.26 and 84,768.12 is: 116,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,751.96 : 210,790.26 = 84,768.12 : x
  2. Step 2: Convert to fraction form
    152,751.96/210,790.26 = 84,768.12/x
  3. Step 3: Cross multiply
    152,751.96x = 210,790.26 × 84,768.12
  4. Step 4: Simplify right side
    152,751.96x = 17,868,294,054.51
  5. Step 5: Solve for x
    x = 17,868,294,054.51/152,751.96
  6. Step 6: Final answer
    x = 116,975.87

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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.