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Finding the Fourth Proportional to 211,920.96, 292,455.06 and 116,431.26

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Solution

The fourth proportional to 211,920.96, 292,455.06 and 116,431.26 is: 160,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,920.96 : 292,455.06 = 116,431.26 : x
  2. Step 2: Convert to fraction form
    211,920.96/292,455.06 = 116,431.26/x
  3. Step 3: Cross multiply
    211,920.96x = 292,455.06 × 116,431.26
  4. Step 4: Simplify right side
    211,920.96x = 34,050,911,129.18
  5. Step 5: Solve for x
    x = 34,050,911,129.18/211,920.96
  6. Step 6: Final answer
    x = 160,677.41

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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.