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Finding the Fourth Proportional to 313,675.66, 470,248.98 and 136,048.88

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Solution

The fourth proportional to 313,675.66, 470,248.98 and 136,048.88 is: 203,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,675.66 : 470,248.98 = 136,048.88 : x
  2. Step 2: Convert to fraction form
    313,675.66/470,248.98 = 136,048.88/x
  3. Step 3: Cross multiply
    313,675.66x = 470,248.98 × 136,048.88
  4. Step 4: Simplify right side
    313,675.66x = 63,976,848,225.76
  5. Step 5: Solve for x
    x = 63,976,848,225.76/313,675.66
  6. Step 6: Final answer
    x = 203,958.60

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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.