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Finding the Fourth Proportional to 211,976.64, 292,534.56 and 116,492.16

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Solution

The fourth proportional to 211,976.64, 292,534.56 and 116,492.16 is: 160,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,976.64 : 292,534.56 = 116,492.16 : x
  2. Step 2: Convert to fraction form
    211,976.64/292,534.56 = 116,492.16/x
  3. Step 3: Cross multiply
    211,976.64x = 292,534.56 × 116,492.16
  4. Step 4: Simplify right side
    211,976.64x = 34,077,982,769.05
  5. Step 5: Solve for x
    x = 34,077,982,769.05/211,976.64
  6. Step 6: Final answer
    x = 160,762.92

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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.