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Finding the Fourth Proportional to 173,842.94, 260,722.26 and 47,483.77

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Solution

The fourth proportional to 173,842.94, 260,722.26 and 47,483.77 is: 71,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,842.94 : 260,722.26 = 47,483.77 : x
  2. Step 2: Convert to fraction form
    173,842.94/260,722.26 = 47,483.77/x
  3. Step 3: Cross multiply
    173,842.94x = 260,722.26 × 47,483.77
  4. Step 4: Simplify right side
    173,842.94x = 12,380,075,827.72
  5. Step 5: Solve for x
    x = 12,380,075,827.72/173,842.94
  6. Step 6: Final answer
    x = 71,214.14

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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.