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Finding the Fourth Proportional to 212,128.64, 292,745.04 and 116,642.64

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Solution

The fourth proportional to 212,128.64, 292,745.04 and 116,642.64 is: 160,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,128.64 : 292,745.04 = 116,642.64 : x
  2. Step 2: Convert to fraction form
    212,128.64/292,745.04 = 116,642.64/x
  3. Step 3: Cross multiply
    212,128.64x = 292,745.04 × 116,642.64
  4. Step 4: Simplify right side
    212,128.64x = 34,146,554,312.51
  5. Step 5: Solve for x
    x = 34,146,554,312.51/212,128.64
  6. Step 6: Final answer
    x = 160,970.98

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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.