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Finding the Fourth Proportional to 152,257.30, 210,113.32 and 84,274.40

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Solution

The fourth proportional to 152,257.30, 210,113.32 and 84,274.40 is: 116,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,257.30 : 210,113.32 = 84,274.40 : x
  2. Step 2: Convert to fraction form
    152,257.30/210,113.32 = 84,274.40/x
  3. Step 3: Cross multiply
    152,257.30x = 210,113.32 × 84,274.40
  4. Step 4: Simplify right side
    152,257.30x = 17,707,173,975.01
  5. Step 5: Solve for x
    x = 17,707,173,975.01/152,257.30
  6. Step 6: Final answer
    x = 116,297.70

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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.