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Finding the Fourth Proportional to 194,683, 292,056.10 and 76,290.16

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Solution

The fourth proportional to 194,683, 292,056.10 and 76,290.16 is: 114,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,683 : 292,056.10 = 76,290.16 : x
  2. Step 2: Convert to fraction form
    194,683/292,056.10 = 76,290.16/x
  3. Step 3: Cross multiply
    194,683x = 292,056.10 × 76,290.16
  4. Step 4: Simplify right side
    194,683x = 22,281,006,597.98
  5. Step 5: Solve for x
    x = 22,281,006,597.98/194,683
  6. Step 6: Final answer
    x = 114,447.62

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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.