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Finding the Fourth Proportional to 261,578.36, 360,981.87 and 146,881.86

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Solution

The fourth proportional to 261,578.36, 360,981.87 and 146,881.86 is: 202,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,578.36 : 360,981.87 = 146,881.86 : x
  2. Step 2: Convert to fraction form
    261,578.36/360,981.87 = 146,881.86/x
  3. Step 3: Cross multiply
    261,578.36x = 360,981.87 × 146,881.86
  4. Step 4: Simplify right side
    261,578.36x = 53,021,686,587.39
  5. Step 5: Solve for x
    x = 53,021,686,587.39/261,578.36
  6. Step 6: Final answer
    x = 202,699.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.