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Finding the Fourth Proportional to 243,223.76, 365,389.08 and 175,963.28

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Solution

The fourth proportional to 243,223.76, 365,389.08 and 175,963.28 is: 264,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,223.76 : 365,389.08 = 175,963.28 : x
  2. Step 2: Convert to fraction form
    243,223.76/365,389.08 = 175,963.28/x
  3. Step 3: Cross multiply
    243,223.76x = 365,389.08 × 175,963.28
  4. Step 4: Simplify right side
    243,223.76x = 64,295,060,992.98
  5. Step 5: Solve for x
    x = 64,295,060,992.98/243,223.76
  6. Step 6: Final answer
    x = 264,345.31

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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.