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Finding the Fourth Proportional to 130,220.16, 179,707.36 and 73,640

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Solution

The fourth proportional to 130,220.16, 179,707.36 and 73,640 is: 101,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,220.16 : 179,707.36 = 73,640 : x
  2. Step 2: Convert to fraction form
    130,220.16/179,707.36 = 73,640/x
  3. Step 3: Cross multiply
    130,220.16x = 179,707.36 × 73,640
  4. Step 4: Simplify right side
    130,220.16x = 13,233,649,990.40
  5. Step 5: Solve for x
    x = 13,233,649,990.40/130,220.16
  6. Step 6: Final answer
    x = 101,625.20

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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.