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Finding the Fourth Proportional to 261,952.68, 361,465.56 and 147,204.84

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Solution

The fourth proportional to 261,952.68, 361,465.56 and 147,204.84 is: 203,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,952.68 : 361,465.56 = 147,204.84 : x
  2. Step 2: Convert to fraction form
    261,952.68/361,465.56 = 147,204.84/x
  3. Step 3: Cross multiply
    261,952.68x = 361,465.56 × 147,204.84
  4. Step 4: Simplify right side
    261,952.68x = 53,209,479,925.31
  5. Step 5: Solve for x
    x = 53,209,479,925.31/261,952.68
  6. Step 6: Final answer
    x = 203,126.30

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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.