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Finding the Fourth Proportional to 210,014.61, 289,809.65 and 119,358.60

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Solution

The fourth proportional to 210,014.61, 289,809.65 and 119,358.60 is: 164,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,014.61 : 289,809.65 = 119,358.60 : x
  2. Step 2: Convert to fraction form
    210,014.61/289,809.65 = 119,358.60/x
  3. Step 3: Cross multiply
    210,014.61x = 289,809.65 × 119,358.60
  4. Step 4: Simplify right side
    210,014.61x = 34,591,273,493.70
  5. Step 5: Solve for x
    x = 34,591,273,493.70/210,014.61
  6. Step 6: Final answer
    x = 164,708.89

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1.5x scale

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.