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Finding the Fourth Proportional to 163,096.32, 224,864.64 and 105,634.16

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Solution

The fourth proportional to 163,096.32, 224,864.64 and 105,634.16 is: 145,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,096.32 : 224,864.64 = 105,634.16 : x
  2. Step 2: Convert to fraction form
    163,096.32/224,864.64 = 105,634.16/x
  3. Step 3: Cross multiply
    163,096.32x = 224,864.64 × 105,634.16
  4. Step 4: Simplify right side
    163,096.32x = 23,753,387,360.10
  5. Step 5: Solve for x
    x = 23,753,387,360.10/163,096.32
  6. Step 6: Final answer
    x = 145,640.24

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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.