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Finding the Fourth Proportional to 118,052.70, 162,971.79 and 75,075.42

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Solution

The fourth proportional to 118,052.70, 162,971.79 and 75,075.42 is: 103,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,052.70 : 162,971.79 = 75,075.42 : x
  2. Step 2: Convert to fraction form
    118,052.70/162,971.79 = 75,075.42/x
  3. Step 3: Cross multiply
    118,052.70x = 162,971.79 × 75,075.42
  4. Step 4: Simplify right side
    118,052.70x = 12,235,175,582.40
  5. Step 5: Solve for x
    x = 12,235,175,582.40/118,052.70
  6. Step 6: Final answer
    x = 103,641.64

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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.