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Finding the Fourth Proportional to 130,427.28, 180,032.52 and 76,710

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Solution

The fourth proportional to 130,427.28, 180,032.52 and 76,710 is: 105,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,427.28 : 180,032.52 = 76,710 : x
  2. Step 2: Convert to fraction form
    130,427.28/180,032.52 = 76,710/x
  3. Step 3: Cross multiply
    130,427.28x = 180,032.52 × 76,710
  4. Step 4: Simplify right side
    130,427.28x = 13,810,294,609.20
  5. Step 5: Solve for x
    x = 13,810,294,609.20/130,427.28
  6. Step 6: Final answer
    x = 105,885.02

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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.