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Finding the Fourth Proportional to 130,223.40, 195,356.70 and 51,340.20

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Solution

The fourth proportional to 130,223.40, 195,356.70 and 51,340.20 is: 77,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,223.40 : 195,356.70 = 51,340.20 : x
  2. Step 2: Convert to fraction form
    130,223.40/195,356.70 = 51,340.20/x
  3. Step 3: Cross multiply
    130,223.40x = 195,356.70 × 51,340.20
  4. Step 4: Simplify right side
    130,223.40x = 10,029,652,049.34
  5. Step 5: Solve for x
    x = 10,029,652,049.34/130,223.40
  6. Step 6: Final answer
    x = 77,018.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.