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Finding the Fourth Proportional to 172,784, 238,444.32 and 96,300.98

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Solution

The fourth proportional to 172,784, 238,444.32 and 96,300.98 is: 132,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,784 : 238,444.32 = 96,300.98 : x
  2. Step 2: Convert to fraction form
    172,784/238,444.32 = 96,300.98/x
  3. Step 3: Cross multiply
    172,784x = 238,444.32 × 96,300.98
  4. Step 4: Simplify right side
    172,784x = 22,962,421,691.43
  5. Step 5: Solve for x
    x = 22,962,421,691.43/172,784
  6. Step 6: Final answer
    x = 132,896.69

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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.