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Finding the Fourth Proportional to 229,969.90, 344,971.05 and 130,177.90

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Solution

The fourth proportional to 229,969.90, 344,971.05 and 130,177.90 is: 195,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,969.90 : 344,971.05 = 130,177.90 : x
  2. Step 2: Convert to fraction form
    229,969.90/344,971.05 = 130,177.90/x
  3. Step 3: Cross multiply
    229,969.90x = 344,971.05 × 130,177.90
  4. Step 4: Simplify right side
    229,969.90x = 44,907,606,849.80
  5. Step 5: Solve for x
    x = 44,907,606,849.80/229,969.90
  6. Step 6: Final answer
    x = 195,276.02

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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.