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Finding the Fourth Proportional to 194,752, 268,757.76 and 105,328

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Solution

The fourth proportional to 194,752, 268,757.76 and 105,328 is: 145,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,752 : 268,757.76 = 105,328 : x
  2. Step 2: Convert to fraction form
    194,752/268,757.76 = 105,328/x
  3. Step 3: Cross multiply
    194,752x = 268,757.76 × 105,328
  4. Step 4: Simplify right side
    194,752x = 28,307,717,345.28
  5. Step 5: Solve for x
    x = 28,307,717,345.28/194,752
  6. Step 6: Final answer
    x = 145,352.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.