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Finding the Fourth Proportional to 153,656.50, 212,045.97 and 83,000.50

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Solution

The fourth proportional to 153,656.50, 212,045.97 and 83,000.50 is: 114,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,656.50 : 212,045.97 = 83,000.50 : x
  2. Step 2: Convert to fraction form
    153,656.50/212,045.97 = 83,000.50/x
  3. Step 3: Cross multiply
    153,656.50x = 212,045.97 × 83,000.50
  4. Step 4: Simplify right side
    153,656.50x = 17,599,921,532.99
  5. Step 5: Solve for x
    x = 17,599,921,532.99/153,656.50
  6. Step 6: Final answer
    x = 114,540.69

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Why These Related Problems?

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