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Finding the Fourth Proportional to 178,416.42, 246,218.06 and 97,839.16

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Solution

The fourth proportional to 178,416.42, 246,218.06 and 97,839.16 is: 135,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416.42 : 246,218.06 = 97,839.16 : x
  2. Step 2: Convert to fraction form
    178,416.42/246,218.06 = 97,839.16/x
  3. Step 3: Cross multiply
    178,416.42x = 246,218.06 × 97,839.16
  4. Step 4: Simplify right side
    178,416.42x = 24,089,768,167.23
  5. Step 5: Solve for x
    x = 24,089,768,167.23/178,416.42
  6. Step 6: Final answer
    x = 135,019.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.