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Finding the Fourth Proportional to 153,846.56, 212,308.14 and 86,778.56

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Solution

The fourth proportional to 153,846.56, 212,308.14 and 86,778.56 is: 119,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846.56 : 212,308.14 = 86,778.56 : x
  2. Step 2: Convert to fraction form
    153,846.56/212,308.14 = 86,778.56/x
  3. Step 3: Cross multiply
    153,846.56x = 212,308.14 × 86,778.56
  4. Step 4: Simplify right side
    153,846.56x = 18,423,794,665.48
  5. Step 5: Solve for x
    x = 18,423,794,665.48/153,846.56
  6. Step 6: Final answer
    x = 119,754.35

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1.5x scale

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.