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Finding the Fourth Proportional to 229,134.60, 344,009.70 and 134,461.80

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Solution

The fourth proportional to 229,134.60, 344,009.70 and 134,461.80 is: 201,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,134.60 : 344,009.70 = 134,461.80 : x
  2. Step 2: Convert to fraction form
    229,134.60/344,009.70 = 134,461.80/x
  3. Step 3: Cross multiply
    229,134.60x = 344,009.70 × 134,461.80
  4. Step 4: Simplify right side
    229,134.60x = 46,256,163,479.46
  5. Step 5: Solve for x
    x = 46,256,163,479.46/229,134.60
  6. Step 6: Final answer
    x = 201,873.32

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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.