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Finding the Fourth Proportional to 202,946.17, 304,437.17 and 53,185.87

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Solution

The fourth proportional to 202,946.17, 304,437.17 and 53,185.87 is: 79,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,946.17 : 304,437.17 = 53,185.87 : x
  2. Step 2: Convert to fraction form
    202,946.17/304,437.17 = 53,185.87/x
  3. Step 3: Cross multiply
    202,946.17x = 304,437.17 × 53,185.87
  4. Step 4: Simplify right side
    202,946.17x = 16,191,755,746.79
  5. Step 5: Solve for x
    x = 16,191,755,746.79/202,946.17
  6. Step 6: Final answer
    x = 79,783.50

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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.