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Finding the Fourth Proportional to 261,578.84, 361,088.49 and 176,810.72

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Solution

The fourth proportional to 261,578.84, 361,088.49 and 176,810.72 is: 244,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,578.84 : 361,088.49 = 176,810.72 : x
  2. Step 2: Convert to fraction form
    261,578.84/361,088.49 = 176,810.72/x
  3. Step 3: Cross multiply
    261,578.84x = 361,088.49 × 176,810.72
  4. Step 4: Simplify right side
    261,578.84x = 63,844,314,095.17
  5. Step 5: Solve for x
    x = 63,844,314,095.17/261,578.84
  6. Step 6: Final answer
    x = 244,072.94

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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.