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Finding the Fourth Proportional to 212,466.93, 293,225.12 and 158,658.63

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Solution

The fourth proportional to 212,466.93, 293,225.12 and 158,658.63 is: 218,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,466.93 : 293,225.12 = 158,658.63 : x
  2. Step 2: Convert to fraction form
    212,466.93/293,225.12 = 158,658.63/x
  3. Step 3: Cross multiply
    212,466.93x = 293,225.12 × 158,658.63
  4. Step 4: Simplify right side
    212,466.93x = 46,522,695,027.49
  5. Step 5: Solve for x
    x = 46,522,695,027.49/212,466.93
  6. Step 6: Final answer
    x = 218,964.41

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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.