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Finding the Fourth Proportional to 153,986.50, 212,501.37 and 83,330.50

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Solution

The fourth proportional to 153,986.50, 212,501.37 and 83,330.50 is: 114,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,986.50 : 212,501.37 = 83,330.50 : x
  2. Step 2: Convert to fraction form
    153,986.50/212,501.37 = 83,330.50/x
  3. Step 3: Cross multiply
    153,986.50x = 212,501.37 × 83,330.50
  4. Step 4: Simplify right side
    153,986.50x = 17,707,845,412.79
  5. Step 5: Solve for x
    x = 17,707,845,412.79/153,986.50
  6. Step 6: Final answer
    x = 114,996.09

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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.