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Finding the Fourth Proportional to 119,118.84, 178,512.84 and 52,459.08

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Solution

The fourth proportional to 119,118.84, 178,512.84 and 52,459.08 is: 78,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,118.84 : 178,512.84 = 52,459.08 : x
  2. Step 2: Convert to fraction form
    119,118.84/178,512.84 = 52,459.08/x
  3. Step 3: Cross multiply
    119,118.84x = 178,512.84 × 52,459.08
  4. Step 4: Simplify right side
    119,118.84x = 9,364,619,354.59
  5. Step 5: Solve for x
    x = 9,364,619,354.59/119,118.84
  6. Step 6: Final answer
    x = 78,615.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.