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Finding the Fourth Proportional to 152,414.31, 210,328.99 and 84,431.07

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Solution

The fourth proportional to 152,414.31, 210,328.99 and 84,431.07 is: 116,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,414.31 : 210,328.99 = 84,431.07 : x
  2. Step 2: Convert to fraction form
    152,414.31/210,328.99 = 84,431.07/x
  3. Step 3: Cross multiply
    152,414.31x = 210,328.99 × 84,431.07
  4. Step 4: Simplify right side
    152,414.31x = 17,758,301,677.72
  5. Step 5: Solve for x
    x = 17,758,301,677.72/152,414.31
  6. Step 6: Final answer
    x = 116,513.35

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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.