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Finding the Fourth Proportional to 329,763.50, 494,681.10 and 105,071.12

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Solution

The fourth proportional to 329,763.50, 494,681.10 and 105,071.12 is: 157,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,763.50 : 494,681.10 = 105,071.12 : x
  2. Step 2: Convert to fraction form
    329,763.50/494,681.10 = 105,071.12/x
  3. Step 3: Cross multiply
    329,763.50x = 494,681.10 × 105,071.12
  4. Step 4: Simplify right side
    329,763.50x = 51,976,697,219.83
  5. Step 5: Solve for x
    x = 51,976,697,219.83/329,763.50
  6. Step 6: Final answer
    x = 157,618.10

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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.