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Finding the Fourth Proportional to 212,172.64, 292,805.76 and 116,686.72

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Solution

The fourth proportional to 212,172.64, 292,805.76 and 116,686.72 is: 161,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,172.64 : 292,805.76 = 116,686.72 : x
  2. Step 2: Convert to fraction form
    212,172.64/292,805.76 = 116,686.72/x
  3. Step 3: Cross multiply
    212,172.64x = 292,805.76 × 116,686.72
  4. Step 4: Simplify right side
    212,172.64x = 34,166,543,731.51
  5. Step 5: Solve for x
    x = 34,166,543,731.51/212,172.64
  6. Step 6: Final answer
    x = 161,031.81

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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.