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Finding the Fourth Proportional to 205,820.64, 284,045.76 and 115,184.88

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Solution

The fourth proportional to 205,820.64, 284,045.76 and 115,184.88 is: 158,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,820.64 : 284,045.76 = 115,184.88 : x
  2. Step 2: Convert to fraction form
    205,820.64/284,045.76 = 115,184.88/x
  3. Step 3: Cross multiply
    205,820.64x = 284,045.76 × 115,184.88
  4. Step 4: Simplify right side
    205,820.64x = 32,717,776,780.11
  5. Step 5: Solve for x
    x = 32,717,776,780.11/205,820.64
  6. Step 6: Final answer
    x = 158,962.56

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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.