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Finding the Fourth Proportional to 212,423.18, 293,119.93 and 125,202.58

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Solution

The fourth proportional to 212,423.18, 293,119.93 and 125,202.58 is: 172,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,423.18 : 293,119.93 = 125,202.58 : x
  2. Step 2: Convert to fraction form
    212,423.18/293,119.93 = 125,202.58/x
  3. Step 3: Cross multiply
    212,423.18x = 293,119.93 × 125,202.58
  4. Step 4: Simplify right side
    212,423.18x = 36,699,370,909.12
  5. Step 5: Solve for x
    x = 36,699,370,909.12/212,423.18
  6. Step 6: Final answer
    x = 172,765.38

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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.