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Finding the Fourth Proportional to 229,190.40, 343,783.68 and 89,047.68

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Solution

The fourth proportional to 229,190.40, 343,783.68 and 89,047.68 is: 133,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,190.40 : 343,783.68 = 89,047.68 : x
  2. Step 2: Convert to fraction form
    229,190.40/343,783.68 = 89,047.68/x
  3. Step 3: Cross multiply
    229,190.40x = 343,783.68 × 89,047.68
  4. Step 4: Simplify right side
    229,190.40x = 30,613,139,125.86
  5. Step 5: Solve for x
    x = 30,613,139,125.86/229,190.40
  6. Step 6: Final answer
    x = 133,570.77

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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.