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Finding the Fourth Proportional to 377,109.75, 565,663.16 and 152,467.49

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Solution

The fourth proportional to 377,109.75, 565,663.16 and 152,467.49 is: 228,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,109.75 : 565,663.16 = 152,467.49 : x
  2. Step 2: Convert to fraction form
    377,109.75/565,663.16 = 152,467.49/x
  3. Step 3: Cross multiply
    377,109.75x = 565,663.16 × 152,467.49
  4. Step 4: Simplify right side
    377,109.75x = 86,245,242,190.67
  5. Step 5: Solve for x
    x = 86,245,242,190.67/377,109.75
  6. Step 6: Final answer
    x = 228,700.64

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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.