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Finding the Fourth Proportional to 229,968.40, 344,968.80 and 130,176.40

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Solution

The fourth proportional to 229,968.40, 344,968.80 and 130,176.40 is: 195,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,968.40 : 344,968.80 = 130,176.40 : x
  2. Step 2: Convert to fraction form
    229,968.40/344,968.80 = 130,176.40/x
  3. Step 3: Cross multiply
    229,968.40x = 344,968.80 × 130,176.40
  4. Step 4: Simplify right side
    229,968.40x = 44,906,796,496.32
  5. Step 5: Solve for x
    x = 44,906,796,496.32/229,968.40
  6. Step 6: Final answer
    x = 195,273.77

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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.