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Finding the Fourth Proportional to 212,684.30, 293,501.98 and 120,802.96

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Solution

The fourth proportional to 212,684.30, 293,501.98 and 120,802.96 is: 166,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,684.30 : 293,501.98 = 120,802.96 : x
  2. Step 2: Convert to fraction form
    212,684.30/293,501.98 = 120,802.96/x
  3. Step 3: Cross multiply
    212,684.30x = 293,501.98 × 120,802.96
  4. Step 4: Simplify right side
    212,684.30x = 35,455,908,467.74
  5. Step 5: Solve for x
    x = 35,455,908,467.74/212,684.30
  6. Step 6: Final answer
    x = 166,706.75

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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.