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Finding the Fourth Proportional to 261,661.92, 361,088.85 and 146,941.48

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Solution

The fourth proportional to 261,661.92, 361,088.85 and 146,941.48 is: 202,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,661.92 : 361,088.85 = 146,941.48 : x
  2. Step 2: Convert to fraction form
    261,661.92/361,088.85 = 146,941.48/x
  3. Step 3: Cross multiply
    261,661.92x = 361,088.85 × 146,941.48
  4. Step 4: Simplify right side
    261,661.92x = 53,058,930,030.50
  5. Step 5: Solve for x
    x = 53,058,930,030.50/261,661.92
  6. Step 6: Final answer
    x = 202,776.66

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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.