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Finding the Fourth Proportional to 277,583.42, 416,347.09 and 188,200.06

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Solution

The fourth proportional to 277,583.42, 416,347.09 and 188,200.06 is: 282,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,583.42 : 416,347.09 = 188,200.06 : x
  2. Step 2: Convert to fraction form
    277,583.42/416,347.09 = 188,200.06/x
  3. Step 3: Cross multiply
    277,583.42x = 416,347.09 × 188,200.06
  4. Step 4: Simplify right side
    277,583.42x = 78,356,545,807.46
  5. Step 5: Solve for x
    x = 78,356,545,807.46/277,583.42
  6. Step 6: Final answer
    x = 282,281.07

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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.