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Finding the Fourth Proportional to 114,658.96, 158,282.76 and 76,482.04

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Solution

The fourth proportional to 114,658.96, 158,282.76 and 76,482.04 is: 105,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,658.96 : 158,282.76 = 76,482.04 : x
  2. Step 2: Convert to fraction form
    114,658.96/158,282.76 = 76,482.04/x
  3. Step 3: Cross multiply
    114,658.96x = 158,282.76 × 76,482.04
  4. Step 4: Simplify right side
    114,658.96x = 12,105,788,381.63
  5. Step 5: Solve for x
    x = 12,105,788,381.63/114,658.96
  6. Step 6: Final answer
    x = 105,580.83

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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.