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Finding the Fourth Proportional to 242,653.58, 364,080.37 and 100,527.47

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Solution

The fourth proportional to 242,653.58, 364,080.37 and 100,527.47 is: 150,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,653.58 : 364,080.37 = 100,527.47 : x
  2. Step 2: Convert to fraction form
    242,653.58/364,080.37 = 100,527.47/x
  3. Step 3: Cross multiply
    242,653.58x = 364,080.37 × 100,527.47
  4. Step 4: Simplify right side
    242,653.58x = 36,600,078,472.76
  5. Step 5: Solve for x
    x = 36,600,078,472.76/242,653.58
  6. Step 6: Final answer
    x = 150,832.63

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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.