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Finding the Fourth Proportional to 100,334.81, 138,358.71 and 70,109.12

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Solution

The fourth proportional to 100,334.81, 138,358.71 and 70,109.12 is: 96,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,334.81 : 138,358.71 = 70,109.12 : x
  2. Step 2: Convert to fraction form
    100,334.81/138,358.71 = 70,109.12/x
  3. Step 3: Cross multiply
    100,334.81x = 138,358.71 × 70,109.12
  4. Step 4: Simplify right side
    100,334.81x = 9,700,206,710.64
  5. Step 5: Solve for x
    x = 9,700,206,710.64/100,334.81
  6. Step 6: Final answer
    x = 96,678.38

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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.