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Finding the Fourth Proportional to 233,656.96, 322,453.29 and 130,293.54

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Solution

The fourth proportional to 233,656.96, 322,453.29 and 130,293.54 is: 179,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,656.96 : 322,453.29 = 130,293.54 : x
  2. Step 2: Convert to fraction form
    233,656.96/322,453.29 = 130,293.54/x
  3. Step 3: Cross multiply
    233,656.96x = 322,453.29 × 130,293.54
  4. Step 4: Simplify right side
    233,656.96x = 42,013,580,638.75
  5. Step 5: Solve for x
    x = 42,013,580,638.75/233,656.96
  6. Step 6: Final answer
    x = 179,808.81

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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.