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Finding the Fourth Proportional to 119,705, 179,557.50 and 45,833

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Solution

The fourth proportional to 119,705, 179,557.50 and 45,833 is: 68,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,705 : 179,557.50 = 45,833 : x
  2. Step 2: Convert to fraction form
    119,705/179,557.50 = 45,833/x
  3. Step 3: Cross multiply
    119,705x = 179,557.50 × 45,833
  4. Step 4: Simplify right side
    119,705x = 8,229,658,897.50
  5. Step 5: Solve for x
    x = 8,229,658,897.50/119,705
  6. Step 6: Final answer
    x = 68,749.50

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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.