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Finding the Fourth Proportional to 229,968, 344,953.56 and 87,774.93

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Solution

The fourth proportional to 229,968, 344,953.56 and 87,774.93 is: 131,662.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,968 : 344,953.56 = 87,774.93 : x
  2. Step 2: Convert to fraction form
    229,968/344,953.56 = 87,774.93/x
  3. Step 3: Cross multiply
    229,968x = 344,953.56 × 87,774.93
  4. Step 4: Simplify right side
    229,968x = 30,278,274,582.25
  5. Step 5: Solve for x
    x = 30,278,274,582.25/229,968
  6. Step 6: Final answer
    x = 131,662.99

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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.