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Finding the Fourth Proportional to 130,004.80, 179,490 and 106,188.64

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Solution

The fourth proportional to 130,004.80, 179,490 and 106,188.64 is: 146,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,004.80 : 179,490 = 106,188.64 : x
  2. Step 2: Convert to fraction form
    130,004.80/179,490 = 106,188.64/x
  3. Step 3: Cross multiply
    130,004.80x = 179,490 × 106,188.64
  4. Step 4: Simplify right side
    130,004.80x = 19,059,798,993.60
  5. Step 5: Solve for x
    x = 19,059,798,993.60/130,004.80
  6. Step 6: Final answer
    x = 146,608.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.