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Finding the Fourth Proportional to 164,075.44, 226,417.68 and 92,470

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Solution

The fourth proportional to 164,075.44, 226,417.68 and 92,470 is: 127,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,075.44 : 226,417.68 = 92,470 : x
  2. Step 2: Convert to fraction form
    164,075.44/226,417.68 = 92,470/x
  3. Step 3: Cross multiply
    164,075.44x = 226,417.68 × 92,470
  4. Step 4: Simplify right side
    164,075.44x = 20,936,842,869.60
  5. Step 5: Solve for x
    x = 20,936,842,869.60/164,075.44
  6. Step 6: Final answer
    x = 127,604.98

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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.