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Finding the Fourth Proportional to 214,606.88, 296,155.32 and 119,114.40

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Solution

The fourth proportional to 214,606.88, 296,155.32 and 119,114.40 is: 164,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,606.88 : 296,155.32 = 119,114.40 : x
  2. Step 2: Convert to fraction form
    214,606.88/296,155.32 = 119,114.40/x
  3. Step 3: Cross multiply
    214,606.88x = 296,155.32 × 119,114.40
  4. Step 4: Simplify right side
    214,606.88x = 35,276,363,248.61
  5. Step 5: Solve for x
    x = 35,276,363,248.61/214,606.88
  6. Step 6: Final answer
    x = 164,376.67

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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.