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Finding the Fourth Proportional to 153,111.71, 229,672.73 and 117,626.96

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Solution

The fourth proportional to 153,111.71, 229,672.73 and 117,626.96 is: 176,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,111.71 : 229,672.73 = 117,626.96 : x
  2. Step 2: Convert to fraction form
    153,111.71/229,672.73 = 117,626.96/x
  3. Step 3: Cross multiply
    153,111.71x = 229,672.73 × 117,626.96
  4. Step 4: Simplify right side
    153,111.71x = 27,015,705,893.05
  5. Step 5: Solve for x
    x = 27,015,705,893.05/153,111.71
  6. Step 6: Final answer
    x = 176,444.41

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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.