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Finding the Fourth Proportional to 186,324.96, 257,128.44 and 101,442

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Solution

The fourth proportional to 186,324.96, 257,128.44 and 101,442 is: 139,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,324.96 : 257,128.44 = 101,442 : x
  2. Step 2: Convert to fraction form
    186,324.96/257,128.44 = 101,442/x
  3. Step 3: Cross multiply
    186,324.96x = 257,128.44 × 101,442
  4. Step 4: Simplify right side
    186,324.96x = 26,083,623,210.48
  5. Step 5: Solve for x
    x = 26,083,623,210.48/186,324.96
  6. Step 6: Final answer
    x = 139,989.96

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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.