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Finding the Fourth Proportional to 201,664.90, 302,497.35 and 127,015.30

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Solution

The fourth proportional to 201,664.90, 302,497.35 and 127,015.30 is: 190,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,664.90 : 302,497.35 = 127,015.30 : x
  2. Step 2: Convert to fraction form
    201,664.90/302,497.35 = 127,015.30/x
  3. Step 3: Cross multiply
    201,664.90x = 302,497.35 × 127,015.30
  4. Step 4: Simplify right side
    201,664.90x = 38,421,791,659.46
  5. Step 5: Solve for x
    x = 38,421,791,659.46/201,664.90
  6. Step 6: Final answer
    x = 190,522.95

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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.