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Finding the Fourth Proportional to 152,409.88, 210,325.60 and 84,431.25

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Solution

The fourth proportional to 152,409.88, 210,325.60 and 84,431.25 is: 116,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,409.88 : 210,325.60 = 84,431.25 : x
  2. Step 2: Convert to fraction form
    152,409.88/210,325.60 = 84,431.25/x
  3. Step 3: Cross multiply
    152,409.88x = 210,325.60 × 84,431.25
  4. Step 4: Simplify right side
    152,409.88x = 17,758,053,315
  5. Step 5: Solve for x
    x = 17,758,053,315/152,409.88
  6. Step 6: Final answer
    x = 116,515.11

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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.