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Finding the Fourth Proportional to 205,526.40, 308,289.60 and 122,582.40

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Solution

The fourth proportional to 205,526.40, 308,289.60 and 122,582.40 is: 183,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,526.40 : 308,289.60 = 122,582.40 : x
  2. Step 2: Convert to fraction form
    205,526.40/308,289.60 = 122,582.40/x
  3. Step 3: Cross multiply
    205,526.40x = 308,289.60 × 122,582.40
  4. Step 4: Simplify right side
    205,526.40x = 37,790,879,063.04
  5. Step 5: Solve for x
    x = 37,790,879,063.04/205,526.40
  6. Step 6: Final answer
    x = 183,873.60

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Why These Related Problems?

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