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Finding the Fourth Proportional to 173,980.90, 260,971.35 and 49,322.98

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Solution

The fourth proportional to 173,980.90, 260,971.35 and 49,322.98 is: 73,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,980.90 : 260,971.35 = 49,322.98 : x
  2. Step 2: Convert to fraction form
    173,980.90/260,971.35 = 49,322.98/x
  3. Step 3: Cross multiply
    173,980.90x = 260,971.35 × 49,322.98
  4. Step 4: Simplify right side
    173,980.90x = 12,871,884,676.62
  5. Step 5: Solve for x
    x = 12,871,884,676.62/173,980.90
  6. Step 6: Final answer
    x = 73,984.47

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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.