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Finding the Fourth Proportional to 243,697.40, 365,241.66 and 117,314.16

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Solution

The fourth proportional to 243,697.40, 365,241.66 and 117,314.16 is: 175,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,697.40 : 365,241.66 = 117,314.16 : x
  2. Step 2: Convert to fraction form
    243,697.40/365,241.66 = 117,314.16/x
  3. Step 3: Cross multiply
    243,697.40x = 365,241.66 × 117,314.16
  4. Step 4: Simplify right side
    243,697.40x = 42,848,018,539.91
  5. Step 5: Solve for x
    x = 42,848,018,539.91/243,697.40
  6. Step 6: Final answer
    x = 175,824.68

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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.