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Finding the Fourth Proportional to 242,166.85, 334,185.04 and 140,196.63

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Solution

The fourth proportional to 242,166.85, 334,185.04 and 140,196.63 is: 193,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,166.85 : 334,185.04 = 140,196.63 : x
  2. Step 2: Convert to fraction form
    242,166.85/334,185.04 = 140,196.63/x
  3. Step 3: Cross multiply
    242,166.85x = 334,185.04 × 140,196.63
  4. Step 4: Simplify right side
    242,166.85x = 46,851,614,032.51
  5. Step 5: Solve for x
    x = 46,851,614,032.51/242,166.85
  6. Step 6: Final answer
    x = 193,468.32

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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.