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Finding the Fourth Proportional to 97,814.75, 146,482.84 and 88,348.34

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Solution

The fourth proportional to 97,814.75, 146,482.84 and 88,348.34 is: 132,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.75 : 146,482.84 = 88,348.34 : x
  2. Step 2: Convert to fraction form
    97,814.75/146,482.84 = 88,348.34/x
  3. Step 3: Cross multiply
    97,814.75x = 146,482.84 × 88,348.34
  4. Step 4: Simplify right side
    97,814.75x = 12,941,515,752.49
  5. Step 5: Solve for x
    x = 12,941,515,752.49/97,814.75
  6. Step 6: Final answer
    x = 132,306.38

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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.