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Finding the Fourth Proportional to 261,951.36, 361,492.92 and 148,773.84

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Solution

The fourth proportional to 261,951.36, 361,492.92 and 148,773.84 is: 205,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,951.36 : 361,492.92 = 148,773.84 : x
  2. Step 2: Convert to fraction form
    261,951.36/361,492.92 = 148,773.84/x
  3. Step 3: Cross multiply
    261,951.36x = 361,492.92 × 148,773.84
  4. Step 4: Simplify right side
    261,951.36x = 53,780,689,841.21
  5. Step 5: Solve for x
    x = 53,780,689,841.21/261,951.36
  6. Step 6: Final answer
    x = 205,307.92

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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.