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Finding the Fourth Proportional to 210,024.54, 289,823.40 and 119,368.53

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Solution

The fourth proportional to 210,024.54, 289,823.40 and 119,368.53 is: 164,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,024.54 : 289,823.40 = 119,368.53 : x
  2. Step 2: Convert to fraction form
    210,024.54/289,823.40 = 119,368.53/x
  3. Step 3: Cross multiply
    210,024.54x = 289,823.40 × 119,368.53
  4. Step 4: Simplify right side
    210,024.54x = 34,595,793,217.60
  5. Step 5: Solve for x
    x = 34,595,793,217.60/210,024.54
  6. Step 6: Final answer
    x = 164,722.62

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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.