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Finding the Fourth Proportional to 178,357.14, 246,132.78 and 97,782.93

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Solution

The fourth proportional to 178,357.14, 246,132.78 and 97,782.93 is: 134,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,357.14 : 246,132.78 = 97,782.93 : x
  2. Step 2: Convert to fraction form
    178,357.14/246,132.78 = 97,782.93/x
  3. Step 3: Cross multiply
    178,357.14x = 246,132.78 × 97,782.93
  4. Step 4: Simplify right side
    178,357.14x = 24,067,584,397.45
  5. Step 5: Solve for x
    x = 24,067,584,397.45/178,357.14
  6. Step 6: Final answer
    x = 134,940.40

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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.