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Finding the Fourth Proportional to 364,099.60, 545,857.80 and 153,564.40

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Solution

The fourth proportional to 364,099.60, 545,857.80 and 153,564.40 is: 230,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,099.60 : 545,857.80 = 153,564.40 : x
  2. Step 2: Convert to fraction form
    364,099.60/545,857.80 = 153,564.40/x
  3. Step 3: Cross multiply
    364,099.60x = 545,857.80 × 153,564.40
  4. Step 4: Simplify right side
    364,099.60x = 83,824,325,542.32
  5. Step 5: Solve for x
    x = 83,824,325,542.32/364,099.60
  6. Step 6: Final answer
    x = 230,223.61

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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.