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Finding the Fourth Proportional to 292,553.56, 438,808.46 and 105,565.06

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Solution

The fourth proportional to 292,553.56, 438,808.46 and 105,565.06 is: 158,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,553.56 : 438,808.46 = 105,565.06 : x
  2. Step 2: Convert to fraction form
    292,553.56/438,808.46 = 105,565.06/x
  3. Step 3: Cross multiply
    292,553.56x = 438,808.46 × 105,565.06
  4. Step 4: Simplify right side
    292,553.56x = 46,322,841,408.41
  5. Step 5: Solve for x
    x = 46,322,841,408.41/292,553.56
  6. Step 6: Final answer
    x = 158,339.69

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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.