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Finding the Fourth Proportional to 214,937.84, 296,564.84 and 133,339.50

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Solution

The fourth proportional to 214,937.84, 296,564.84 and 133,339.50 is: 183,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937.84 : 296,564.84 = 133,339.50 : x
  2. Step 2: Convert to fraction form
    214,937.84/296,564.84 = 133,339.50/x
  3. Step 3: Cross multiply
    214,937.84x = 296,564.84 × 133,339.50
  4. Step 4: Simplify right side
    214,937.84x = 39,543,807,483.18
  5. Step 5: Solve for x
    x = 39,543,807,483.18/214,937.84
  6. Step 6: Final answer
    x = 183,977.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.