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Finding the Fourth Proportional to 242,782.66, 364,321.62 and 102,541.28

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Solution

The fourth proportional to 242,782.66, 364,321.62 and 102,541.28 is: 153,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,782.66 : 364,321.62 = 102,541.28 : x
  2. Step 2: Convert to fraction form
    242,782.66/364,321.62 = 102,541.28/x
  3. Step 3: Cross multiply
    242,782.66x = 364,321.62 × 102,541.28
  4. Step 4: Simplify right side
    242,782.66x = 37,358,005,246.47
  5. Step 5: Solve for x
    x = 37,358,005,246.47/242,782.66
  6. Step 6: Final answer
    x = 153,874.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.