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Finding the Fourth Proportional to 153,886.96, 230,911.70 and 109,197.10

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Solution

The fourth proportional to 153,886.96, 230,911.70 and 109,197.10 is: 163,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886.96 : 230,911.70 = 109,197.10 : x
  2. Step 2: Convert to fraction form
    153,886.96/230,911.70 = 109,197.10/x
  3. Step 3: Cross multiply
    153,886.96x = 230,911.70 × 109,197.10
  4. Step 4: Simplify right side
    153,886.96x = 25,214,887,738.72
  5. Step 5: Solve for x
    x = 25,214,887,738.72/153,886.96
  6. Step 6: Final answer
    x = 163,853.31

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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.