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Finding the Fourth Proportional to 272,009.47, 375,407.58 and 164,580.39

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Solution

The fourth proportional to 272,009.47, 375,407.58 and 164,580.39 is: 227,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,009.47 : 375,407.58 = 164,580.39 : x
  2. Step 2: Convert to fraction form
    272,009.47/375,407.58 = 164,580.39/x
  3. Step 3: Cross multiply
    272,009.47x = 375,407.58 × 164,580.39
  4. Step 4: Simplify right side
    272,009.47x = 61,784,724,048.32
  5. Step 5: Solve for x
    x = 61,784,724,048.32/272,009.47
  6. Step 6: Final answer
    x = 227,141.81

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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.