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Finding the Fourth Proportional to 165,377.63, 247,754.28 and 97,707.74

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Solution

The fourth proportional to 165,377.63, 247,754.28 and 97,707.74 is: 146,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,377.63 : 247,754.28 = 97,707.74 : x
  2. Step 2: Convert to fraction form
    165,377.63/247,754.28 = 97,707.74/x
  3. Step 3: Cross multiply
    165,377.63x = 247,754.28 × 97,707.74
  4. Step 4: Simplify right side
    165,377.63x = 24,207,511,393.51
  5. Step 5: Solve for x
    x = 24,207,511,393.51/165,377.63
  6. Step 6: Final answer
    x = 146,377.19

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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.