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Finding the Fourth Proportional to 185,125.29, 277,323.43 and 117,448.57

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Solution

The fourth proportional to 185,125.29, 277,323.43 and 117,448.57 is: 175,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,125.29 : 277,323.43 = 117,448.57 : x
  2. Step 2: Convert to fraction form
    185,125.29/277,323.43 = 117,448.57/x
  3. Step 3: Cross multiply
    185,125.29x = 277,323.43 × 117,448.57
  4. Step 4: Simplify right side
    185,125.29x = 32,571,240,281.00
  5. Step 5: Solve for x
    x = 32,571,240,281.00/185,125.29
  6. Step 6: Final answer
    x = 175,941.60

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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.