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Finding the Fourth Proportional to 130,651, 180,293.16 and 76,938.28

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Solution

The fourth proportional to 130,651, 180,293.16 and 76,938.28 is: 106,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,651 : 180,293.16 = 76,938.28 : x
  2. Step 2: Convert to fraction form
    130,651/180,293.16 = 76,938.28/x
  3. Step 3: Cross multiply
    130,651x = 180,293.16 × 76,938.28
  4. Step 4: Simplify right side
    130,651x = 13,871,445,626.16
  5. Step 5: Solve for x
    x = 13,871,445,626.16/130,651
  6. Step 6: Final answer
    x = 106,171.75

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Why These Related Problems?

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