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Finding the Fourth Proportional to 153,984.50, 212,498.61 and 83,328.50

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Solution

The fourth proportional to 153,984.50, 212,498.61 and 83,328.50 is: 114,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,984.50 : 212,498.61 = 83,328.50 : x
  2. Step 2: Convert to fraction form
    153,984.50/212,498.61 = 83,328.50/x
  3. Step 3: Cross multiply
    153,984.50x = 212,498.61 × 83,328.50
  4. Step 4: Simplify right side
    153,984.50x = 17,707,190,423.39
  5. Step 5: Solve for x
    x = 17,707,190,423.39/153,984.50
  6. Step 6: Final answer
    x = 114,993.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.