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Finding the Fourth Proportional to 212,930.58, 293,857.65 and 117,437.46

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Solution

The fourth proportional to 212,930.58, 293,857.65 and 117,437.46 is: 162,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,930.58 : 293,857.65 = 117,437.46 : x
  2. Step 2: Convert to fraction form
    212,930.58/293,857.65 = 117,437.46/x
  3. Step 3: Cross multiply
    212,930.58x = 293,857.65 × 117,437.46
  4. Step 4: Simplify right side
    212,930.58x = 34,509,896,017.57
  5. Step 5: Solve for x
    x = 34,509,896,017.57/212,930.58
  6. Step 6: Final answer
    x = 162,071.11

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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.