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Finding the Fourth Proportional to 211,706.60, 292,158.42 and 116,222

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Solution

The fourth proportional to 211,706.60, 292,158.42 and 116,222 is: 160,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,706.60 : 292,158.42 = 116,222 : x
  2. Step 2: Convert to fraction form
    211,706.60/292,158.42 = 116,222/x
  3. Step 3: Cross multiply
    211,706.60x = 292,158.42 × 116,222
  4. Step 4: Simplify right side
    211,706.60x = 33,955,235,889.24
  5. Step 5: Solve for x
    x = 33,955,235,889.24/211,706.60
  6. Step 6: Final answer
    x = 160,388.18

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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.