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Finding the Fourth Proportional to 173,064, 238,854.24 and 106,034.88

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Solution

The fourth proportional to 173,064, 238,854.24 and 106,034.88 is: 146,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,064 : 238,854.24 = 106,034.88 : x
  2. Step 2: Convert to fraction form
    173,064/238,854.24 = 106,034.88/x
  3. Step 3: Cross multiply
    173,064x = 238,854.24 × 106,034.88
  4. Step 4: Simplify right side
    173,064x = 25,326,880,675.89
  5. Step 5: Solve for x
    x = 25,326,880,675.89/173,064
  6. Step 6: Final answer
    x = 146,344.02

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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.