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Finding the Fourth Proportional to 229,075.70, 343,639.15 and 71,302.90

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Solution

The fourth proportional to 229,075.70, 343,639.15 and 71,302.90 is: 106,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,075.70 : 343,639.15 = 71,302.90 : x
  2. Step 2: Convert to fraction form
    229,075.70/343,639.15 = 71,302.90/x
  3. Step 3: Cross multiply
    229,075.70x = 343,639.15 × 71,302.90
  4. Step 4: Simplify right side
    229,075.70x = 24,502,467,948.54
  5. Step 5: Solve for x
    x = 24,502,467,948.54/229,075.70
  6. Step 6: Final answer
    x = 106,962.32

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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.