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Finding the Fourth Proportional to 239,062.16, 358,714.20 and 96,940.64

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Solution

The fourth proportional to 239,062.16, 358,714.20 and 96,940.64 is: 145,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,062.16 : 358,714.20 = 96,940.64 : x
  2. Step 2: Convert to fraction form
    239,062.16/358,714.20 = 96,940.64/x
  3. Step 3: Cross multiply
    239,062.16x = 358,714.20 × 96,940.64
  4. Step 4: Simplify right side
    239,062.16x = 34,773,984,125.09
  5. Step 5: Solve for x
    x = 34,773,984,125.09/239,062.16
  6. Step 6: Final answer
    x = 145,460.01

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Why These Related Problems?

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