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Finding the Fourth Proportional to 277,225.90, 415,776.08 and 127,322.08

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Solution

The fourth proportional to 277,225.90, 415,776.08 and 127,322.08 is: 190,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,225.90 : 415,776.08 = 127,322.08 : x
  2. Step 2: Convert to fraction form
    277,225.90/415,776.08 = 127,322.08/x
  3. Step 3: Cross multiply
    277,225.90x = 415,776.08 × 127,322.08
  4. Step 4: Simplify right side
    277,225.90x = 52,937,475,319.85
  5. Step 5: Solve for x
    x = 52,937,475,319.85/277,225.90
  6. Step 6: Final answer
    x = 190,954.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.