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Finding the Fourth Proportional to 212,572, 293,362.68 and 117,078.68

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Solution

The fourth proportional to 212,572, 293,362.68 and 117,078.68 is: 161,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,572 : 293,362.68 = 117,078.68 : x
  2. Step 2: Convert to fraction form
    212,572/293,362.68 = 117,078.68/x
  3. Step 3: Cross multiply
    212,572x = 293,362.68 × 117,078.68
  4. Step 4: Simplify right side
    212,572x = 34,346,515,335.66
  5. Step 5: Solve for x
    x = 34,346,515,335.66/212,572
  6. Step 6: Final answer
    x = 161,575.91

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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.