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Finding the Fourth Proportional to 243,546.51, 365,356.13 and 75,052.83

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Solution

The fourth proportional to 243,546.51, 365,356.13 and 75,052.83 is: 112,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,546.51 : 365,356.13 = 75,052.83 : x
  2. Step 2: Convert to fraction form
    243,546.51/365,356.13 = 75,052.83/x
  3. Step 3: Cross multiply
    243,546.51x = 365,356.13 × 75,052.83
  4. Step 4: Simplify right side
    243,546.51x = 27,421,011,139.08
  5. Step 5: Solve for x
    x = 27,421,011,139.08/243,546.51
  6. Step 6: Final answer
    x = 112,590.45

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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.