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Finding the Fourth Proportional to 212,423.40, 293,109.98 and 121,762.68

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Solution

The fourth proportional to 212,423.40, 293,109.98 and 121,762.68 is: 168,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,423.40 : 293,109.98 = 121,762.68 : x
  2. Step 2: Convert to fraction form
    212,423.40/293,109.98 = 121,762.68/x
  3. Step 3: Cross multiply
    212,423.40x = 293,109.98 × 121,762.68
  4. Step 4: Simplify right side
    212,423.40x = 35,689,856,699.55
  5. Step 5: Solve for x
    x = 35,689,856,699.55/212,423.40
  6. Step 6: Final answer
    x = 168,012.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.