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Finding the Fourth Proportional to 309,152.66, 463,773 and 95,938.98

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Solution

The fourth proportional to 309,152.66, 463,773 and 95,938.98 is: 143,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,152.66 : 463,773 = 95,938.98 : x
  2. Step 2: Convert to fraction form
    309,152.66/463,773 = 95,938.98/x
  3. Step 3: Cross multiply
    309,152.66x = 463,773 × 95,938.98
  4. Step 4: Simplify right side
    309,152.66x = 44,493,908,571.54
  5. Step 5: Solve for x
    x = 44,493,908,571.54/309,152.66
  6. Step 6: Final answer
    x = 143,922.13

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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.