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Finding the Fourth Proportional to 364,094.48, 546,169.08 and 114,770

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Solution

The fourth proportional to 364,094.48, 546,169.08 and 114,770 is: 172,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,094.48 : 546,169.08 = 114,770 : x
  2. Step 2: Convert to fraction form
    364,094.48/546,169.08 = 114,770/x
  3. Step 3: Cross multiply
    364,094.48x = 546,169.08 × 114,770
  4. Step 4: Simplify right side
    364,094.48x = 62,683,825,311.60
  5. Step 5: Solve for x
    x = 62,683,825,311.60/364,094.48
  6. Step 6: Final answer
    x = 172,163.62

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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.