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Finding the Fourth Proportional to 211,888.32, 292,534.32 and 140,329.68

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Solution

The fourth proportional to 211,888.32, 292,534.32 and 140,329.68 is: 193,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,888.32 : 292,534.32 = 140,329.68 : x
  2. Step 2: Convert to fraction form
    211,888.32/292,534.32 = 140,329.68/x
  3. Step 3: Cross multiply
    211,888.32x = 292,534.32 × 140,329.68
  4. Step 4: Simplify right side
    211,888.32x = 41,051,247,514.62
  5. Step 5: Solve for x
    x = 41,051,247,514.62/211,888.32
  6. Step 6: Final answer
    x = 193,740.02

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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.