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Finding the Fourth Proportional to 261,917.31, 361,448.42 and 148,740.87

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Solution

The fourth proportional to 261,917.31, 361,448.42 and 148,740.87 is: 205,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,917.31 : 361,448.42 = 148,740.87 : x
  2. Step 2: Convert to fraction form
    261,917.31/361,448.42 = 148,740.87/x
  3. Step 3: Cross multiply
    261,917.31x = 361,448.42 × 148,740.87
  4. Step 4: Simplify right side
    261,917.31x = 53,762,151,707.22
  5. Step 5: Solve for x
    x = 53,762,151,707.22/261,917.31
  6. Step 6: Final answer
    x = 205,263.84

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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.