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Finding the Fourth Proportional to 284,088.36, 426,021.84 and 106,498.50

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Solution

The fourth proportional to 284,088.36, 426,021.84 and 106,498.50 is: 159,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,088.36 : 426,021.84 = 106,498.50 : x
  2. Step 2: Convert to fraction form
    284,088.36/426,021.84 = 106,498.50/x
  3. Step 3: Cross multiply
    284,088.36x = 426,021.84 × 106,498.50
  4. Step 4: Simplify right side
    284,088.36x = 45,370,686,927.24
  5. Step 5: Solve for x
    x = 45,370,686,927.24/284,088.36
  6. Step 6: Final answer
    x = 159,706.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.