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Finding the Fourth Proportional to 152,300.32, 210,174.72 and 84,322

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Solution

The fourth proportional to 152,300.32, 210,174.72 and 84,322 is: 116,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,300.32 : 210,174.72 = 84,322 : x
  2. Step 2: Convert to fraction form
    152,300.32/210,174.72 = 84,322/x
  3. Step 3: Cross multiply
    152,300.32x = 210,174.72 × 84,322
  4. Step 4: Simplify right side
    152,300.32x = 17,722,352,739.84
  5. Step 5: Solve for x
    x = 17,722,352,739.84/152,300.32
  6. Step 6: Final answer
    x = 116,364.51

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