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Finding the Fourth Proportional to 211,653.95, 292,100.38 and 116,176.82

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Solution

The fourth proportional to 211,653.95, 292,100.38 and 116,176.82 is: 160,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,653.95 : 292,100.38 = 116,176.82 : x
  2. Step 2: Convert to fraction form
    211,653.95/292,100.38 = 116,176.82/x
  3. Step 3: Cross multiply
    211,653.95x = 292,100.38 × 116,176.82
  4. Step 4: Simplify right side
    211,653.95x = 33,935,291,518.25
  5. Step 5: Solve for x
    x = 33,935,291,518.25/211,653.95
  6. Step 6: Final answer
    x = 160,333.85

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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.