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Finding the Fourth Proportional to 210,993, 316,567.26 and 111,149.16

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Solution

The fourth proportional to 210,993, 316,567.26 and 111,149.16 is: 166,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,993 : 316,567.26 = 111,149.16 : x
  2. Step 2: Convert to fraction form
    210,993/316,567.26 = 111,149.16/x
  3. Step 3: Cross multiply
    210,993x = 316,567.26 × 111,149.16
  4. Step 4: Simplify right side
    210,993x = 35,186,185,032.50
  5. Step 5: Solve for x
    x = 35,186,185,032.50/210,993
  6. Step 6: Final answer
    x = 166,764.70

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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.