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Finding the Fourth Proportional to 233,271.88, 322,070.16 and 179,461.96

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Solution

The fourth proportional to 233,271.88, 322,070.16 and 179,461.96 is: 247,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,271.88 : 322,070.16 = 179,461.96 : x
  2. Step 2: Convert to fraction form
    233,271.88/322,070.16 = 179,461.96/x
  3. Step 3: Cross multiply
    233,271.88x = 322,070.16 × 179,461.96
  4. Step 4: Simplify right side
    233,271.88x = 57,799,342,171.11
  5. Step 5: Solve for x
    x = 57,799,342,171.11/233,271.88
  6. Step 6: Final answer
    x = 247,776.72

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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.