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Finding the Fourth Proportional to 194,587, 268,530.06 and 105,163

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Solution

The fourth proportional to 194,587, 268,530.06 and 105,163 is: 145,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,587 : 268,530.06 = 105,163 : x
  2. Step 2: Convert to fraction form
    194,587/268,530.06 = 105,163/x
  3. Step 3: Cross multiply
    194,587x = 268,530.06 × 105,163
  4. Step 4: Simplify right side
    194,587x = 28,239,426,699.78
  5. Step 5: Solve for x
    x = 28,239,426,699.78/194,587
  6. Step 6: Final answer
    x = 145,124.94

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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.