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Finding the Fourth Proportional to 130,646.54, 180,324.88 and 80,316.38

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Solution

The fourth proportional to 130,646.54, 180,324.88 and 80,316.38 is: 110,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,646.54 : 180,324.88 = 80,316.38 : x
  2. Step 2: Convert to fraction form
    130,646.54/180,324.88 = 80,316.38/x
  3. Step 3: Cross multiply
    130,646.54x = 180,324.88 × 80,316.38
  4. Step 4: Simplify right side
    130,646.54x = 14,483,041,585.53
  5. Step 5: Solve for x
    x = 14,483,041,585.53/130,646.54
  6. Step 6: Final answer
    x = 110,856.68

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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.