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Finding the Fourth Proportional to 242,636.96, 364,159.92 and 102,496.16

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Solution

The fourth proportional to 242,636.96, 364,159.92 and 102,496.16 is: 153,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,636.96 : 364,159.92 = 102,496.16 : x
  2. Step 2: Convert to fraction form
    242,636.96/364,159.92 = 102,496.16/x
  3. Step 3: Cross multiply
    242,636.96x = 364,159.92 × 102,496.16
  4. Step 4: Simplify right side
    242,636.96x = 37,324,993,425.91
  5. Step 5: Solve for x
    x = 37,324,993,425.91/242,636.96
  6. Step 6: Final answer
    x = 153,830.62

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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.