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Finding the Fourth Proportional to 475,057.60, 712,586.48 and 120,072.64

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Solution

The fourth proportional to 475,057.60, 712,586.48 and 120,072.64 is: 180,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,057.60 : 712,586.48 = 120,072.64 : x
  2. Step 2: Convert to fraction form
    475,057.60/712,586.48 = 120,072.64/x
  3. Step 3: Cross multiply
    475,057.60x = 712,586.48 × 120,072.64
  4. Step 4: Simplify right side
    475,057.60x = 85,562,139,881.91
  5. Step 5: Solve for x
    x = 85,562,139,881.91/475,057.60
  6. Step 6: Final answer
    x = 180,108.98

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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.