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Finding the Fourth Proportional to 152,586.64, 210,635.40 and 143,022.16

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Solution

The fourth proportional to 152,586.64, 210,635.40 and 143,022.16 is: 197,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,586.64 : 210,635.40 = 143,022.16 : x
  2. Step 2: Convert to fraction form
    152,586.64/210,635.40 = 143,022.16/x
  3. Step 3: Cross multiply
    152,586.64x = 210,635.40 × 143,022.16
  4. Step 4: Simplify right side
    152,586.64x = 30,125,529,880.46
  5. Step 5: Solve for x
    x = 30,125,529,880.46/152,586.64
  6. Step 6: Final answer
    x = 197,432.29

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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.