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Finding the Fourth Proportional to 202,801.86, 304,478.55 and 114,117.66

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Solution

The fourth proportional to 202,801.86, 304,478.55 and 114,117.66 is: 171,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,801.86 : 304,478.55 = 114,117.66 : x
  2. Step 2: Convert to fraction form
    202,801.86/304,478.55 = 114,117.66/x
  3. Step 3: Cross multiply
    202,801.86x = 304,478.55 × 114,117.66
  4. Step 4: Simplify right side
    202,801.86x = 34,746,379,646.19
  5. Step 5: Solve for x
    x = 34,746,379,646.19/202,801.86
  6. Step 6: Final answer
    x = 171,331.66

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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.