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Finding the Fourth Proportional to 153,078.35, 211,282.38 and 85,119.17

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Solution

The fourth proportional to 153,078.35, 211,282.38 and 85,119.17 is: 117,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,078.35 : 211,282.38 = 85,119.17 : x
  2. Step 2: Convert to fraction form
    153,078.35/211,282.38 = 85,119.17/x
  3. Step 3: Cross multiply
    153,078.35x = 211,282.38 × 85,119.17
  4. Step 4: Simplify right side
    153,078.35x = 17,984,179,764.81
  5. Step 5: Solve for x
    x = 17,984,179,764.81/153,078.35
  6. Step 6: Final answer
    x = 117,483.50

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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.