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Finding the Fourth Proportional to 261,788.49, 361,228.76 and 147,045.16

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Solution

The fourth proportional to 261,788.49, 361,228.76 and 147,045.16 is: 202,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,788.49 : 361,228.76 = 147,045.16 : x
  2. Step 2: Convert to fraction form
    261,788.49/361,228.76 = 147,045.16/x
  3. Step 3: Cross multiply
    261,788.49x = 361,228.76 × 147,045.16
  4. Step 4: Simplify right side
    261,788.49x = 53,116,938,269.43
  5. Step 5: Solve for x
    x = 53,116,938,269.43/261,788.49
  6. Step 6: Final answer
    x = 202,900.20

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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.