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Finding the Fourth Proportional to 165,056.62, 227,783.60 and 93,435.16

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Solution

The fourth proportional to 165,056.62, 227,783.60 and 93,435.16 is: 128,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,056.62 : 227,783.60 = 93,435.16 : x
  2. Step 2: Convert to fraction form
    165,056.62/227,783.60 = 93,435.16/x
  3. Step 3: Cross multiply
    165,056.62x = 227,783.60 × 93,435.16
  4. Step 4: Simplify right side
    165,056.62x = 21,282,997,111.38
  5. Step 5: Solve for x
    x = 21,282,997,111.38/165,056.62
  6. Step 6: Final answer
    x = 128,943.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.