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Finding the Fourth Proportional to 211,646.59, 292,080.69 and 116,156.68

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Solution

The fourth proportional to 211,646.59, 292,080.69 and 116,156.68 is: 160,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,646.59 : 292,080.69 = 116,156.68 : x
  2. Step 2: Convert to fraction form
    211,646.59/292,080.69 = 116,156.68/x
  3. Step 3: Cross multiply
    211,646.59x = 292,080.69 × 116,156.68
  4. Step 4: Simplify right side
    211,646.59x = 33,927,123,242.51
  5. Step 5: Solve for x
    x = 33,927,123,242.51/211,646.59
  6. Step 6: Final answer
    x = 160,300.83

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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.