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Finding the Fourth Proportional to 242,563.20, 364,060.80 and 142,598.40

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Solution

The fourth proportional to 242,563.20, 364,060.80 and 142,598.40 is: 214,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,563.20 : 364,060.80 = 142,598.40 : x
  2. Step 2: Convert to fraction form
    242,563.20/364,060.80 = 142,598.40/x
  3. Step 3: Cross multiply
    242,563.20x = 364,060.80 × 142,598.40
  4. Step 4: Simplify right side
    242,563.20x = 51,914,487,582.72
  5. Step 5: Solve for x
    x = 51,914,487,582.72/242,563.20
  6. Step 6: Final answer
    x = 214,024.58

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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.