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Finding the Fourth Proportional to 258,133.60, 387,200.40 and 202,146.40

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Solution

The fourth proportional to 258,133.60, 387,200.40 and 202,146.40 is: 303,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,133.60 : 387,200.40 = 202,146.40 : x
  2. Step 2: Convert to fraction form
    258,133.60/387,200.40 = 202,146.40/x
  3. Step 3: Cross multiply
    258,133.60x = 387,200.40 × 202,146.40
  4. Step 4: Simplify right side
    258,133.60x = 78,271,166,938.56
  5. Step 5: Solve for x
    x = 78,271,166,938.56/258,133.60
  6. Step 6: Final answer
    x = 303,219.60

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1.5x scale

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.