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Finding the Fourth Proportional to 213,127.64, 294,114.72 and 117,634.32

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Solution

The fourth proportional to 213,127.64, 294,114.72 and 117,634.32 is: 162,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,127.64 : 294,114.72 = 117,634.32 : x
  2. Step 2: Convert to fraction form
    213,127.64/294,114.72 = 117,634.32/x
  3. Step 3: Cross multiply
    213,127.64x = 294,114.72 × 117,634.32
  4. Step 4: Simplify right side
    213,127.64x = 34,597,985,089.19
  5. Step 5: Solve for x
    x = 34,597,985,089.19/213,127.64
  6. Step 6: Final answer
    x = 162,334.58

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