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Finding the Fourth Proportional to 133,818, 200,804.76 and 59,946

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Solution

The fourth proportional to 133,818, 200,804.76 and 59,946 is: 89,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,818 : 200,804.76 = 59,946 : x
  2. Step 2: Convert to fraction form
    133,818/200,804.76 = 59,946/x
  3. Step 3: Cross multiply
    133,818x = 200,804.76 × 59,946
  4. Step 4: Simplify right side
    133,818x = 12,037,442,142.96
  5. Step 5: Solve for x
    x = 12,037,442,142.96/133,818
  6. Step 6: Final answer
    x = 89,953.83

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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.