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Finding the Fourth Proportional to 220,996.16, 304,894.73 and 144,558.84

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Solution

The fourth proportional to 220,996.16, 304,894.73 and 144,558.84 is: 199,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,996.16 : 304,894.73 = 144,558.84 : x
  2. Step 2: Convert to fraction form
    220,996.16/304,894.73 = 144,558.84/x
  3. Step 3: Cross multiply
    220,996.16x = 304,894.73 × 144,558.84
  4. Step 4: Simplify right side
    220,996.16x = 44,075,227,768.12
  5. Step 5: Solve for x
    x = 44,075,227,768.12/220,996.16
  6. Step 6: Final answer
    x = 199,438.89

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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.