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Finding the Fourth Proportional to 119,315, 178,973.58 and 36,209

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Solution

The fourth proportional to 119,315, 178,973.58 and 36,209 is: 54,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,315 : 178,973.58 = 36,209 : x
  2. Step 2: Convert to fraction form
    119,315/178,973.58 = 36,209/x
  3. Step 3: Cross multiply
    119,315x = 178,973.58 × 36,209
  4. Step 4: Simplify right side
    119,315x = 6,480,454,358.22
  5. Step 5: Solve for x
    x = 6,480,454,358.22/119,315
  6. Step 6: Final answer
    x = 54,313.83

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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.