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Finding the Fourth Proportional to 173,842.70, 260,764.05 and 102,692.30

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Solution

The fourth proportional to 173,842.70, 260,764.05 and 102,692.30 is: 154,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,842.70 : 260,764.05 = 102,692.30 : x
  2. Step 2: Convert to fraction form
    173,842.70/260,764.05 = 102,692.30/x
  3. Step 3: Cross multiply
    173,842.70x = 260,764.05 × 102,692.30
  4. Step 4: Simplify right side
    173,842.70x = 26,778,460,051.82
  5. Step 5: Solve for x
    x = 26,778,460,051.82/173,842.70
  6. Step 6: Final answer
    x = 154,038.45

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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.