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Finding the Fourth Proportional to 132,075.84, 198,165.60 and 58,152

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Solution

The fourth proportional to 132,075.84, 198,165.60 and 58,152 is: 87,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,075.84 : 198,165.60 = 58,152 : x
  2. Step 2: Convert to fraction form
    132,075.84/198,165.60 = 58,152/x
  3. Step 3: Cross multiply
    132,075.84x = 198,165.60 × 58,152
  4. Step 4: Simplify right side
    132,075.84x = 11,523,725,971.20
  5. Step 5: Solve for x
    x = 11,523,725,971.20/132,075.84
  6. Step 6: Final answer
    x = 87,250.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.