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Finding the Fourth Proportional to 189,795.48, 284,693.24 and 77,528.68

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Solution

The fourth proportional to 189,795.48, 284,693.24 and 77,528.68 is: 116,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,795.48 : 284,693.24 = 77,528.68 : x
  2. Step 2: Convert to fraction form
    189,795.48/284,693.24 = 77,528.68/x
  3. Step 3: Cross multiply
    189,795.48x = 284,693.24 × 77,528.68
  4. Step 4: Simplify right side
    189,795.48x = 22,071,891,102.12
  5. Step 5: Solve for x
    x = 22,071,891,102.12/189,795.48
  6. Step 6: Final answer
    x = 116,293.03

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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.