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Finding the Fourth Proportional to 205,950.72, 284,295.36 and 174,284.16

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Solution

The fourth proportional to 205,950.72, 284,295.36 and 174,284.16 is: 240,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,950.72 : 284,295.36 = 174,284.16 : x
  2. Step 2: Convert to fraction form
    205,950.72/284,295.36 = 174,284.16/x
  3. Step 3: Cross multiply
    205,950.72x = 284,295.36 × 174,284.16
  4. Step 4: Simplify right side
    205,950.72x = 49,548,178,009.50
  5. Step 5: Solve for x
    x = 49,548,178,009.50/205,950.72
  6. Step 6: Final answer
    x = 240,582.69

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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.