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Finding the Fourth Proportional to 229,151.40, 343,912.38 and 158,030.76

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Solution

The fourth proportional to 229,151.40, 343,912.38 and 158,030.76 is: 237,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151.40 : 343,912.38 = 158,030.76 : x
  2. Step 2: Convert to fraction form
    229,151.40/343,912.38 = 158,030.76/x
  3. Step 3: Cross multiply
    229,151.40x = 343,912.38 × 158,030.76
  4. Step 4: Simplify right side
    229,151.40x = 54,348,734,784.81
  5. Step 5: Solve for x
    x = 54,348,734,784.81/229,151.40
  6. Step 6: Final answer
    x = 237,173.92

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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.