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Finding the Fourth Proportional to 189,699.44, 284,549.16 and 65,041.52

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Solution

The fourth proportional to 189,699.44, 284,549.16 and 65,041.52 is: 97,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,699.44 : 284,549.16 = 65,041.52 : x
  2. Step 2: Convert to fraction form
    189,699.44/284,549.16 = 65,041.52/x
  3. Step 3: Cross multiply
    189,699.44x = 284,549.16 × 65,041.52
  4. Step 4: Simplify right side
    189,699.44x = 18,507,509,881.12
  5. Step 5: Solve for x
    x = 18,507,509,881.12/189,699.44
  6. Step 6: Final answer
    x = 97,562.28

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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.