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Finding the Fourth Proportional to 242,652.58, 364,078.87 and 100,526.47

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Solution

The fourth proportional to 242,652.58, 364,078.87 and 100,526.47 is: 150,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,652.58 : 364,078.87 = 100,526.47 : x
  2. Step 2: Convert to fraction form
    242,652.58/364,078.87 = 100,526.47/x
  3. Step 3: Cross multiply
    242,652.58x = 364,078.87 × 100,526.47
  4. Step 4: Simplify right side
    242,652.58x = 36,599,562,441.18
  5. Step 5: Solve for x
    x = 36,599,562,441.18/242,652.58
  6. Step 6: Final answer
    x = 150,831.13

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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.