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Finding the Fourth Proportional to 147,043.84, 202,865.52 and 86,577.52

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Solution

The fourth proportional to 147,043.84, 202,865.52 and 86,577.52 is: 119,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,043.84 : 202,865.52 = 86,577.52 : x
  2. Step 2: Convert to fraction form
    147,043.84/202,865.52 = 86,577.52/x
  3. Step 3: Cross multiply
    147,043.84x = 202,865.52 × 86,577.52
  4. Step 4: Simplify right side
    147,043.84x = 17,563,593,615.11
  5. Step 5: Solve for x
    x = 17,563,593,615.11/147,043.84
  6. Step 6: Final answer
    x = 119,444.61

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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.