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Finding the Fourth Proportional to 313,304.00, 470,032.54 and 100,071.95

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Solution

The fourth proportional to 313,304.00, 470,032.54 and 100,071.95 is: 150,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,304.00 : 470,032.54 = 100,071.95 : x
  2. Step 2: Convert to fraction form
    313,304.00/470,032.54 = 100,071.95/x
  3. Step 3: Cross multiply
    313,304.00x = 470,032.54 × 100,071.95
  4. Step 4: Simplify right side
    313,304.00x = 47,037,070,240.91
  5. Step 5: Solve for x
    x = 47,037,070,240.91/313,304.00
  6. Step 6: Final answer
    x = 150,132.37

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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.