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Finding the Fourth Proportional to 151,373.76, 208,895.80 and 84,305.76

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Solution

The fourth proportional to 151,373.76, 208,895.80 and 84,305.76 is: 116,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,373.76 : 208,895.80 = 84,305.76 : x
  2. Step 2: Convert to fraction form
    151,373.76/208,895.80 = 84,305.76/x
  3. Step 3: Cross multiply
    151,373.76x = 208,895.80 × 84,305.76
  4. Step 4: Simplify right side
    151,373.76x = 17,611,119,179.81
  5. Step 5: Solve for x
    x = 17,611,119,179.81/151,373.76
  6. Step 6: Final answer
    x = 116,341.96

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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.