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Finding the Fourth Proportional to 116,411.90, 174,358.65 and 100,859.90

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Solution

The fourth proportional to 116,411.90, 174,358.65 and 100,859.90 is: 151,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,411.90 : 174,358.65 = 100,859.90 : x
  2. Step 2: Convert to fraction form
    116,411.90/174,358.65 = 100,859.90/x
  3. Step 3: Cross multiply
    116,411.90x = 174,358.65 × 100,859.90
  4. Step 4: Simplify right side
    116,411.90x = 17,585,796,003.14
  5. Step 5: Solve for x
    x = 17,585,796,003.14/116,411.90
  6. Step 6: Final answer
    x = 151,065.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.