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Finding the Fourth Proportional to 214,139.69, 295,510.03 and 133,561.50

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Solution

The fourth proportional to 214,139.69, 295,510.03 and 133,561.50 is: 184,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,139.69 : 295,510.03 = 133,561.50 : x
  2. Step 2: Convert to fraction form
    214,139.69/295,510.03 = 133,561.50/x
  3. Step 3: Cross multiply
    214,139.69x = 295,510.03 × 133,561.50
  4. Step 4: Simplify right side
    214,139.69x = 39,468,762,871.85
  5. Step 5: Solve for x
    x = 39,468,762,871.85/214,139.69
  6. Step 6: Final answer
    x = 184,313.16

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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.