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Finding the Fourth Proportional to 243,878.40, 365,817.60 and 138,902.40

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Solution

The fourth proportional to 243,878.40, 365,817.60 and 138,902.40 is: 208,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,878.40 : 365,817.60 = 138,902.40 : x
  2. Step 2: Convert to fraction form
    243,878.40/365,817.60 = 138,902.40/x
  3. Step 3: Cross multiply
    243,878.40x = 365,817.60 × 138,902.40
  4. Step 4: Simplify right side
    243,878.40x = 50,812,942,602.24
  5. Step 5: Solve for x
    x = 50,812,942,602.24/243,878.40
  6. Step 6: Final answer
    x = 208,353.60

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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.