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Finding the Fourth Proportional to 130,654.44, 180,301.86 and 71,038.44

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Solution

The fourth proportional to 130,654.44, 180,301.86 and 71,038.44 is: 98,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,654.44 : 180,301.86 = 71,038.44 : x
  2. Step 2: Convert to fraction form
    130,654.44/180,301.86 = 71,038.44/x
  3. Step 3: Cross multiply
    130,654.44x = 180,301.86 × 71,038.44
  4. Step 4: Simplify right side
    130,654.44x = 12,808,362,863.50
  5. Step 5: Solve for x
    x = 12,808,362,863.50/130,654.44
  6. Step 6: Final answer
    x = 98,032.36

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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.