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Finding the Fourth Proportional to 152,405.10, 210,298.21 and 84,405.29

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Solution

The fourth proportional to 152,405.10, 210,298.21 and 84,405.29 is: 116,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.10 : 210,298.21 = 84,405.29 : x
  2. Step 2: Convert to fraction form
    152,405.10/210,298.21 = 84,405.29/x
  3. Step 3: Cross multiply
    152,405.10x = 210,298.21 × 84,405.29
  4. Step 4: Simplify right side
    152,405.10x = 17,750,280,139.03
  5. Step 5: Solve for x
    x = 17,750,280,139.03/152,405.10
  6. Step 6: Final answer
    x = 116,467.76

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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.