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Finding the Fourth Proportional to 164,852.70, 227,506.32 and 92,254.98

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Solution

The fourth proportional to 164,852.70, 227,506.32 and 92,254.98 is: 127,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,852.70 : 227,506.32 = 92,254.98 : x
  2. Step 2: Convert to fraction form
    164,852.70/227,506.32 = 92,254.98/x
  3. Step 3: Cross multiply
    164,852.70x = 227,506.32 × 92,254.98
  4. Step 4: Simplify right side
    164,852.70x = 20,988,590,654.88
  5. Step 5: Solve for x
    x = 20,988,590,654.88/164,852.70
  6. Step 6: Final answer
    x = 127,317.24

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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.