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Finding the Fourth Proportional to 211,785.96, 292,266.68 and 116,294.72

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Solution

The fourth proportional to 211,785.96, 292,266.68 and 116,294.72 is: 160,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,785.96 : 292,266.68 = 116,294.72 : x
  2. Step 2: Convert to fraction form
    211,785.96/292,266.68 = 116,294.72/x
  3. Step 3: Cross multiply
    211,785.96x = 292,266.68 × 116,294.72
  4. Step 4: Simplify right side
    211,785.96x = 33,989,071,715.93
  5. Step 5: Solve for x
    x = 33,989,071,715.93/211,785.96
  6. Step 6: Final answer
    x = 160,487.84

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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.