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Finding the Fourth Proportional to 152,308.96, 210,179.51 and 84,321.16

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Solution

The fourth proportional to 152,308.96, 210,179.51 and 84,321.16 is: 116,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,308.96 : 210,179.51 = 84,321.16 : x
  2. Step 2: Convert to fraction form
    152,308.96/210,179.51 = 84,321.16/x
  3. Step 3: Cross multiply
    152,308.96x = 210,179.51 × 84,321.16
  4. Step 4: Simplify right side
    152,308.96x = 17,722,579,669.83
  5. Step 5: Solve for x
    x = 17,722,579,669.83/152,308.96
  6. Step 6: Final answer
    x = 116,359.40

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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.