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Finding the Fourth Proportional to 194,083.34, 291,124.98 and 53,841.96

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Solution

The fourth proportional to 194,083.34, 291,124.98 and 53,841.96 is: 80,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,083.34 : 291,124.98 = 53,841.96 : x
  2. Step 2: Convert to fraction form
    194,083.34/291,124.98 = 53,841.96/x
  3. Step 3: Cross multiply
    194,083.34x = 291,124.98 × 53,841.96
  4. Step 4: Simplify right side
    194,083.34x = 15,674,739,528.16
  5. Step 5: Solve for x
    x = 15,674,739,528.16/194,083.34
  6. Step 6: Final answer
    x = 80,762.93

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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.