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Finding the Fourth Proportional to 102,602.86, 153,621.19 and 52,576.45

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Solution

The fourth proportional to 102,602.86, 153,621.19 and 52,576.45 is: 78,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,602.86 : 153,621.19 = 52,576.45 : x
  2. Step 2: Convert to fraction form
    102,602.86/153,621.19 = 52,576.45/x
  3. Step 3: Cross multiply
    102,602.86x = 153,621.19 × 52,576.45
  4. Step 4: Simplify right side
    102,602.86x = 8,076,856,299.48
  5. Step 5: Solve for x
    x = 8,076,856,299.48/102,602.86
  6. Step 6: Final answer
    x = 78,719.60

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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.