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Finding the Fourth Proportional to 207,614, 286,507.64 and 118,190

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Solution

The fourth proportional to 207,614, 286,507.64 and 118,190 is: 163,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,614 : 286,507.64 = 118,190 : x
  2. Step 2: Convert to fraction form
    207,614/286,507.64 = 118,190/x
  3. Step 3: Cross multiply
    207,614x = 286,507.64 × 118,190
  4. Step 4: Simplify right side
    207,614x = 33,862,337,971.60
  5. Step 5: Solve for x
    x = 33,862,337,971.60/207,614
  6. Step 6: Final answer
    x = 163,102.38

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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.