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Finding the Fourth Proportional to 242,123.80, 362,796.90 and 202,466.20

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Solution

The fourth proportional to 242,123.80, 362,796.90 and 202,466.20 is: 303,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,123.80 : 362,796.90 = 202,466.20 : x
  2. Step 2: Convert to fraction form
    242,123.80/362,796.90 = 202,466.20/x
  3. Step 3: Cross multiply
    242,123.80x = 362,796.90 × 202,466.20
  4. Step 4: Simplify right side
    242,123.80x = 73,454,109,714.78
  5. Step 5: Solve for x
    x = 73,454,109,714.78/242,123.80
  6. Step 6: Final answer
    x = 303,374.18

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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.