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Finding the Fourth Proportional to 212,068.82, 292,655.32 and 116,576.12

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Solution

The fourth proportional to 212,068.82, 292,655.32 and 116,576.12 is: 160,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,068.82 : 292,655.32 = 116,576.12 : x
  2. Step 2: Convert to fraction form
    212,068.82/292,655.32 = 116,576.12/x
  3. Step 3: Cross multiply
    212,068.82x = 292,655.32 × 116,576.12
  4. Step 4: Simplify right side
    212,068.82x = 34,116,621,702.96
  5. Step 5: Solve for x
    x = 34,116,621,702.96/212,068.82
  6. Step 6: Final answer
    x = 160,875.24

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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.