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Finding the Fourth Proportional to 145,313.07, 200,549.97 and 81,649.50

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Solution

The fourth proportional to 145,313.07, 200,549.97 and 81,649.50 is: 112,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,313.07 : 200,549.97 = 81,649.50 : x
  2. Step 2: Convert to fraction form
    145,313.07/200,549.97 = 81,649.50/x
  3. Step 3: Cross multiply
    145,313.07x = 200,549.97 × 81,649.50
  4. Step 4: Simplify right side
    145,313.07x = 16,374,804,775.52
  5. Step 5: Solve for x
    x = 16,374,804,775.52/145,313.07
  6. Step 6: Final answer
    x = 112,686.39

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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.