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Finding the Fourth Proportional to 193,192.32, 266,506.56 and 128,772.48

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Solution

The fourth proportional to 193,192.32, 266,506.56 and 128,772.48 is: 177,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,192.32 : 266,506.56 = 128,772.48 : x
  2. Step 2: Convert to fraction form
    193,192.32/266,506.56 = 128,772.48/x
  3. Step 3: Cross multiply
    193,192.32x = 266,506.56 × 128,772.48
  4. Step 4: Simplify right side
    193,192.32x = 34,318,710,667.47
  5. Step 5: Solve for x
    x = 34,318,710,667.47/193,192.32
  6. Step 6: Final answer
    x = 177,640.14

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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.