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Finding the Fourth Proportional to 152,258.57, 210,110.20 and 84,271.49

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Solution

The fourth proportional to 152,258.57, 210,110.20 and 84,271.49 is: 116,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,258.57 : 210,110.20 = 84,271.49 : x
  2. Step 2: Convert to fraction form
    152,258.57/210,110.20 = 84,271.49/x
  3. Step 3: Cross multiply
    152,258.57x = 210,110.20 × 84,271.49
  4. Step 4: Simplify right side
    152,258.57x = 17,706,299,618.91
  5. Step 5: Solve for x
    x = 17,706,299,618.91/152,258.57
  6. Step 6: Final answer
    x = 116,290.99

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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.