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Finding the Fourth Proportional to 242,173.62, 363,264.89 and 105,382.93

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Solution

The fourth proportional to 242,173.62, 363,264.89 and 105,382.93 is: 158,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,173.62 : 363,264.89 = 105,382.93 : x
  2. Step 2: Convert to fraction form
    242,173.62/363,264.89 = 105,382.93/x
  3. Step 3: Cross multiply
    242,173.62x = 363,264.89 × 105,382.93
  4. Step 4: Simplify right side
    242,173.62x = 38,281,916,950.91
  5. Step 5: Solve for x
    x = 38,281,916,950.91/242,173.62
  6. Step 6: Final answer
    x = 158,076.33

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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.