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Finding the Fourth Proportional to 261,942.16, 361,482.60 and 142,710.16

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Solution

The fourth proportional to 261,942.16, 361,482.60 and 142,710.16 is: 196,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,942.16 : 361,482.60 = 142,710.16 : x
  2. Step 2: Convert to fraction form
    261,942.16/361,482.60 = 142,710.16/x
  3. Step 3: Cross multiply
    261,942.16x = 361,482.60 × 142,710.16
  4. Step 4: Simplify right side
    261,942.16x = 51,587,239,683.22
  5. Step 5: Solve for x
    x = 51,587,239,683.22/261,942.16
  6. Step 6: Final answer
    x = 196,941.34

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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.