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Finding the Fourth Proportional to 213,295.64, 294,341.93 and 117,800.29

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Solution

The fourth proportional to 213,295.64, 294,341.93 and 117,800.29 is: 162,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,295.64 : 294,341.93 = 117,800.29 : x
  2. Step 2: Convert to fraction form
    213,295.64/294,341.93 = 117,800.29/x
  3. Step 3: Cross multiply
    213,295.64x = 294,341.93 × 117,800.29
  4. Step 4: Simplify right side
    213,295.64x = 34,673,563,241.45
  5. Step 5: Solve for x
    x = 34,673,563,241.45/213,295.64
  6. Step 6: Final answer
    x = 162,561.05

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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.