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Finding the Fourth Proportional to 209,830.98, 314,824.29 and 97,571.46

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Solution

The fourth proportional to 209,830.98, 314,824.29 and 97,571.46 is: 146,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,830.98 : 314,824.29 = 97,571.46 : x
  2. Step 2: Convert to fraction form
    209,830.98/314,824.29 = 97,571.46/x
  3. Step 3: Cross multiply
    209,830.98x = 314,824.29 × 97,571.46
  4. Step 4: Simplify right side
    209,830.98x = 30,717,865,618.76
  5. Step 5: Solve for x
    x = 30,717,865,618.76/209,830.98
  6. Step 6: Final answer
    x = 146,393.38

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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.