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Finding the Fourth Proportional to 272,346.10, 375,848.31 and 164,855.32

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Solution

The fourth proportional to 272,346.10, 375,848.31 and 164,855.32 is: 227,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,346.10 : 375,848.31 = 164,855.32 : x
  2. Step 2: Convert to fraction form
    272,346.10/375,848.31 = 164,855.32/x
  3. Step 3: Cross multiply
    272,346.10x = 375,848.31 × 164,855.32
  4. Step 4: Simplify right side
    272,346.10x = 61,960,593,416.51
  5. Step 5: Solve for x
    x = 61,960,593,416.51/272,346.10
  6. Step 6: Final answer
    x = 227,506.81

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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.