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Finding the Fourth Proportional to 189,233.69, 283,905.32 and 56,117.16

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Solution

The fourth proportional to 189,233.69, 283,905.32 and 56,117.16 is: 84,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,233.69 : 283,905.32 = 56,117.16 : x
  2. Step 2: Convert to fraction form
    189,233.69/283,905.32 = 56,117.16/x
  3. Step 3: Cross multiply
    189,233.69x = 283,905.32 × 56,117.16
  4. Step 4: Simplify right side
    189,233.69x = 15,931,959,986.71
  5. Step 5: Solve for x
    x = 15,931,959,986.71/189,233.69
  6. Step 6: Final answer
    x = 84,191.99

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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.