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Finding the Fourth Proportional to 130,893.80, 180,632.10 and 71,277.80

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Solution

The fourth proportional to 130,893.80, 180,632.10 and 71,277.80 is: 98,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,893.80 : 180,632.10 = 71,277.80 : x
  2. Step 2: Convert to fraction form
    130,893.80/180,632.10 = 71,277.80/x
  3. Step 3: Cross multiply
    130,893.80x = 180,632.10 × 71,277.80
  4. Step 4: Simplify right side
    130,893.80x = 12,875,058,697.38
  5. Step 5: Solve for x
    x = 12,875,058,697.38/130,893.80
  6. Step 6: Final answer
    x = 98,362.63

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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.