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Finding the Fourth Proportional to 185,009.40, 277,066.80 and 105,883.74

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Solution

The fourth proportional to 185,009.40, 277,066.80 and 105,883.74 is: 158,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,009.40 : 277,066.80 = 105,883.74 : x
  2. Step 2: Convert to fraction form
    185,009.40/277,066.80 = 105,883.74/x
  3. Step 3: Cross multiply
    185,009.40x = 277,066.80 × 105,883.74
  4. Step 4: Simplify right side
    185,009.40x = 29,336,869,013.83
  5. Step 5: Solve for x
    x = 29,336,869,013.83/185,009.40
  6. Step 6: Final answer
    x = 158,569.61

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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.