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Finding the Fourth Proportional to 152,792.10, 210,847.53 and 84,812.10

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Solution

The fourth proportional to 152,792.10, 210,847.53 and 84,812.10 is: 117,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,792.10 : 210,847.53 = 84,812.10 : x
  2. Step 2: Convert to fraction form
    152,792.10/210,847.53 = 84,812.10/x
  3. Step 3: Cross multiply
    152,792.10x = 210,847.53 × 84,812.10
  4. Step 4: Simplify right side
    152,792.10x = 17,882,421,799.11
  5. Step 5: Solve for x
    x = 17,882,421,799.11/152,792.10
  6. Step 6: Final answer
    x = 117,037.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.