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Finding the Fourth Proportional to 261,298.10, 360,590.79 and 145,029.39

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Solution

The fourth proportional to 261,298.10, 360,590.79 and 145,029.39 is: 200,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,298.10 : 360,590.79 = 145,029.39 : x
  2. Step 2: Convert to fraction form
    261,298.10/360,590.79 = 145,029.39/x
  3. Step 3: Cross multiply
    261,298.10x = 360,590.79 × 145,029.39
  4. Step 4: Simplify right side
    261,298.10x = 52,296,260,961.10
  5. Step 5: Solve for x
    x = 52,296,260,961.10/261,298.10
  6. Step 6: Final answer
    x = 200,140.23

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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.