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Finding the Fourth Proportional to 212,437.68, 293,162.40 and 116,946

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Solution

The fourth proportional to 212,437.68, 293,162.40 and 116,946 is: 161,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,437.68 : 293,162.40 = 116,946 : x
  2. Step 2: Convert to fraction form
    212,437.68/293,162.40 = 116,946/x
  3. Step 3: Cross multiply
    212,437.68x = 293,162.40 × 116,946
  4. Step 4: Simplify right side
    212,437.68x = 34,284,170,030.40
  5. Step 5: Solve for x
    x = 34,284,170,030.40/212,437.68
  6. Step 6: Final answer
    x = 161,384.60

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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.