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Finding the Fourth Proportional to 242,050, 334,027.14 and 133,151.99

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Solution

The fourth proportional to 242,050, 334,027.14 and 133,151.99 is: 183,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,050 : 334,027.14 = 133,151.99 : x
  2. Step 2: Convert to fraction form
    242,050/334,027.14 = 133,151.99/x
  3. Step 3: Cross multiply
    242,050x = 334,027.14 × 133,151.99
  4. Step 4: Simplify right side
    242,050x = 44,476,378,405.01
  5. Step 5: Solve for x
    x = 44,476,378,405.01/242,050
  6. Step 6: Final answer
    x = 183,748.72

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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.