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Finding the Fourth Proportional to 292,133.39, 438,248.52 and 102,544.56

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Solution

The fourth proportional to 292,133.39, 438,248.52 and 102,544.56 is: 153,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,133.39 : 438,248.52 = 102,544.56 : x
  2. Step 2: Convert to fraction form
    292,133.39/438,248.52 = 102,544.56/x
  3. Step 3: Cross multiply
    292,133.39x = 438,248.52 × 102,544.56
  4. Step 4: Simplify right side
    292,133.39x = 44,940,001,654.05
  5. Step 5: Solve for x
    x = 44,940,001,654.05/292,133.39
  6. Step 6: Final answer
    x = 153,833.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.