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Finding the Fourth Proportional to 238,576, 357,866.16 and 72,364

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Solution

The fourth proportional to 238,576, 357,866.16 and 72,364 is: 108,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,576 : 357,866.16 = 72,364 : x
  2. Step 2: Convert to fraction form
    238,576/357,866.16 = 72,364/x
  3. Step 3: Cross multiply
    238,576x = 357,866.16 × 72,364
  4. Step 4: Simplify right side
    238,576x = 25,896,626,802.24
  5. Step 5: Solve for x
    x = 25,896,626,802.24/238,576
  6. Step 6: Final answer
    x = 108,546.66

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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.