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Finding the Fourth Proportional to 296,031.51, 443,852.06 and 106,396.74

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Solution

The fourth proportional to 296,031.51, 443,852.06 and 106,396.74 is: 159,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,031.51 : 443,852.06 = 106,396.74 : x
  2. Step 2: Convert to fraction form
    296,031.51/443,852.06 = 106,396.74/x
  3. Step 3: Cross multiply
    296,031.51x = 443,852.06 × 106,396.74
  4. Step 4: Simplify right side
    296,031.51x = 47,224,411,694.30
  5. Step 5: Solve for x
    x = 47,224,411,694.30/296,031.51
  6. Step 6: Final answer
    x = 159,524.95

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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.