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Finding the Fourth Proportional to 309,094.29, 463,708.01 and 95,857.90

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Solution

The fourth proportional to 309,094.29, 463,708.01 and 95,857.90 is: 143,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,094.29 : 463,708.01 = 95,857.90 : x
  2. Step 2: Convert to fraction form
    309,094.29/463,708.01 = 95,857.90/x
  3. Step 3: Cross multiply
    309,094.29x = 463,708.01 × 95,857.90
  4. Step 4: Simplify right side
    309,094.29x = 44,450,075,132.15
  5. Step 5: Solve for x
    x = 44,450,075,132.15/309,094.29
  6. Step 6: Final answer
    x = 143,807.49

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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.