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Finding the Fourth Proportional to 252,692.56, 348,710.29 and 137,966.77

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Solution

The fourth proportional to 252,692.56, 348,710.29 and 137,966.77 is: 190,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,692.56 : 348,710.29 = 137,966.77 : x
  2. Step 2: Convert to fraction form
    252,692.56/348,710.29 = 137,966.77/x
  3. Step 3: Cross multiply
    252,692.56x = 348,710.29 × 137,966.77
  4. Step 4: Simplify right side
    252,692.56x = 48,110,432,377.06
  5. Step 5: Solve for x
    x = 48,110,432,377.06/252,692.56
  6. Step 6: Final answer
    x = 190,391.17

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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.