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Finding the Fourth Proportional to 145,228.80, 202,905.60 and 145,228.80

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Solution

The fourth proportional to 145,228.80, 202,905.60 and 145,228.80 is: 202,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,228.80 : 202,905.60 = 145,228.80 : x
  2. Step 2: Convert to fraction form
    145,228.80/202,905.60 = 145,228.80/x
  3. Step 3: Cross multiply
    145,228.80x = 202,905.60 × 145,228.80
  4. Step 4: Simplify right side
    145,228.80x = 29,467,736,801.28
  5. Step 5: Solve for x
    x = 29,467,736,801.28/145,228.80
  6. Step 6: Final answer
    x = 202,905.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.