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Finding the Fourth Proportional to 194,967.29, 292,226.76 and 89,564.82

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Solution

The fourth proportional to 194,967.29, 292,226.76 and 89,564.82 is: 134,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967.29 : 292,226.76 = 89,564.82 : x
  2. Step 2: Convert to fraction form
    194,967.29/292,226.76 = 89,564.82/x
  3. Step 3: Cross multiply
    194,967.29x = 292,226.76 × 89,564.82
  4. Step 4: Simplify right side
    194,967.29x = 26,173,237,158.58
  5. Step 5: Solve for x
    x = 26,173,237,158.58/194,967.29
  6. Step 6: Final answer
    x = 134,244.25

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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.