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Finding the Fourth Proportional to 152,403.66, 210,309.75 and 84,416.04

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Solution

The fourth proportional to 152,403.66, 210,309.75 and 84,416.04 is: 116,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,403.66 : 210,309.75 = 84,416.04 : x
  2. Step 2: Convert to fraction form
    152,403.66/210,309.75 = 84,416.04/x
  3. Step 3: Cross multiply
    152,403.66x = 210,309.75 × 84,416.04
  4. Step 4: Simplify right side
    152,403.66x = 17,753,516,268.39
  5. Step 5: Solve for x
    x = 17,753,516,268.39/152,403.66
  6. Step 6: Final answer
    x = 116,490.09

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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.