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Finding the Fourth Proportional to 153,461.60, 230,205.90 and 46,869.61

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Solution

The fourth proportional to 153,461.60, 230,205.90 and 46,869.61 is: 70,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,461.60 : 230,205.90 = 46,869.61 : x
  2. Step 2: Convert to fraction form
    153,461.60/230,205.90 = 46,869.61/x
  3. Step 3: Cross multiply
    153,461.60x = 230,205.90 × 46,869.61
  4. Step 4: Simplify right side
    153,461.60x = 10,789,661,168.39
  5. Step 5: Solve for x
    x = 10,789,661,168.39/153,461.60
  6. Step 6: Final answer
    x = 70,308.54

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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.