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Finding the Fourth Proportional to 114,742.40, 172,113.60 and 35,880.80

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Solution

The fourth proportional to 114,742.40, 172,113.60 and 35,880.80 is: 53,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,742.40 : 172,113.60 = 35,880.80 : x
  2. Step 2: Convert to fraction form
    114,742.40/172,113.60 = 35,880.80/x
  3. Step 3: Cross multiply
    114,742.40x = 172,113.60 × 35,880.80
  4. Step 4: Simplify right side
    114,742.40x = 6,175,573,658.88
  5. Step 5: Solve for x
    x = 6,175,573,658.88/114,742.40
  6. Step 6: Final answer
    x = 53,821.20

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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.