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Finding the Fourth Proportional to 205,362.40, 308,043.60 and 148,937.80

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Solution

The fourth proportional to 205,362.40, 308,043.60 and 148,937.80 is: 223,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,362.40 : 308,043.60 = 148,937.80 : x
  2. Step 2: Convert to fraction form
    205,362.40/308,043.60 = 148,937.80/x
  3. Step 3: Cross multiply
    205,362.40x = 308,043.60 × 148,937.80
  4. Step 4: Simplify right side
    205,362.40x = 45,879,336,088.08
  5. Step 5: Solve for x
    x = 45,879,336,088.08/205,362.40
  6. Step 6: Final answer
    x = 223,406.70

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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.