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Finding the Fourth Proportional to 106,818.49, 147,410.49 and 59,075.02

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Solution

The fourth proportional to 106,818.49, 147,410.49 and 59,075.02 is: 81,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,818.49 : 147,410.49 = 59,075.02 : x
  2. Step 2: Convert to fraction form
    106,818.49/147,410.49 = 59,075.02/x
  3. Step 3: Cross multiply
    106,818.49x = 147,410.49 × 59,075.02
  4. Step 4: Simplify right side
    106,818.49x = 8,708,277,644.96
  5. Step 5: Solve for x
    x = 8,708,277,644.96/106,818.49
  6. Step 6: Final answer
    x = 81,524.07

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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.