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Finding the Fourth Proportional to 144,897.54, 199,971.63 and 84,487.74

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Solution

The fourth proportional to 144,897.54, 199,971.63 and 84,487.74 is: 116,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,897.54 : 199,971.63 = 84,487.74 : x
  2. Step 2: Convert to fraction form
    144,897.54/199,971.63 = 84,487.74/x
  3. Step 3: Cross multiply
    144,897.54x = 199,971.63 × 84,487.74
  4. Step 4: Simplify right side
    144,897.54x = 16,895,151,082.82
  5. Step 5: Solve for x
    x = 16,895,151,082.82/144,897.54
  6. Step 6: Final answer
    x = 116,600.68

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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.