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Finding the Fourth Proportional to 205,886.40, 308,829.60 and 197,721.60

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Solution

The fourth proportional to 205,886.40, 308,829.60 and 197,721.60 is: 296,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,886.40 : 308,829.60 = 197,721.60 : x
  2. Step 2: Convert to fraction form
    205,886.40/308,829.60 = 197,721.60/x
  3. Step 3: Cross multiply
    205,886.40x = 308,829.60 × 197,721.60
  4. Step 4: Simplify right side
    205,886.40x = 61,062,282,639.36
  5. Step 5: Solve for x
    x = 61,062,282,639.36/205,886.40
  6. Step 6: Final answer
    x = 296,582.40

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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.