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Finding the Fourth Proportional to 212,693.82, 293,523.63 and 117,206.67

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Solution

The fourth proportional to 212,693.82, 293,523.63 and 117,206.67 is: 161,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,693.82 : 293,523.63 = 117,206.67 : x
  2. Step 2: Convert to fraction form
    212,693.82/293,523.63 = 117,206.67/x
  3. Step 3: Cross multiply
    212,693.82x = 293,523.63 × 117,206.67
  4. Step 4: Simplify right side
    212,693.82x = 34,402,927,238.61
  5. Step 5: Solve for x
    x = 34,402,927,238.61/212,693.82
  6. Step 6: Final answer
    x = 161,748.60

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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.