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Finding the Fourth Proportional to 229,494.40, 344,068.80 and 96,265.60

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Solution

The fourth proportional to 229,494.40, 344,068.80 and 96,265.60 is: 144,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,494.40 : 344,068.80 = 96,265.60 : x
  2. Step 2: Convert to fraction form
    229,494.40/344,068.80 = 96,265.60/x
  3. Step 3: Cross multiply
    229,494.40x = 344,068.80 × 96,265.60
  4. Step 4: Simplify right side
    229,494.40x = 33,121,989,473.28
  5. Step 5: Solve for x
    x = 33,121,989,473.28/229,494.40
  6. Step 6: Final answer
    x = 144,325.92

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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.