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Finding the Fourth Proportional to 211,730.60, 292,191.54 and 116,246

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Solution

The fourth proportional to 211,730.60, 292,191.54 and 116,246 is: 160,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,730.60 : 292,191.54 = 116,246 : x
  2. Step 2: Convert to fraction form
    211,730.60/292,191.54 = 116,246/x
  3. Step 3: Cross multiply
    211,730.60x = 292,191.54 × 116,246
  4. Step 4: Simplify right side
    211,730.60x = 33,966,097,758.84
  5. Step 5: Solve for x
    x = 33,966,097,758.84/211,730.60
  6. Step 6: Final answer
    x = 160,421.30

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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.