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Finding the Fourth Proportional to 211,855.50, 292,360.86 and 116,364.06

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Solution

The fourth proportional to 211,855.50, 292,360.86 and 116,364.06 is: 160,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,855.50 : 292,360.86 = 116,364.06 : x
  2. Step 2: Convert to fraction form
    211,855.50/292,360.86 = 116,364.06/x
  3. Step 3: Cross multiply
    211,855.50x = 292,360.86 × 116,364.06
  4. Step 4: Simplify right side
    211,855.50x = 34,020,296,654.69
  5. Step 5: Solve for x
    x = 34,020,296,654.69/211,855.50
  6. Step 6: Final answer
    x = 160,582.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.