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Finding the Fourth Proportional to 272,097.84, 375,437.40 and 164,646.96

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Solution

The fourth proportional to 272,097.84, 375,437.40 and 164,646.96 is: 227,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,097.84 : 375,437.40 = 164,646.96 : x
  2. Step 2: Convert to fraction form
    272,097.84/375,437.40 = 164,646.96/x
  3. Step 3: Cross multiply
    272,097.84x = 375,437.40 × 164,646.96
  4. Step 4: Simplify right side
    272,097.84x = 61,814,626,580.30
  5. Step 5: Solve for x
    x = 61,814,626,580.30/272,097.84
  6. Step 6: Final answer
    x = 227,177.94

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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.