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Finding the Fourth Proportional to 211,915.74, 292,449.06 and 116,431.32

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Solution

The fourth proportional to 211,915.74, 292,449.06 and 116,431.32 is: 160,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,915.74 : 292,449.06 = 116,431.32 : x
  2. Step 2: Convert to fraction form
    211,915.74/292,449.06 = 116,431.32/x
  3. Step 3: Cross multiply
    211,915.74x = 292,449.06 × 116,431.32
  4. Step 4: Simplify right side
    211,915.74x = 34,050,230,088.56
  5. Step 5: Solve for x
    x = 34,050,230,088.56/211,915.74
  6. Step 6: Final answer
    x = 160,678.15

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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.