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Finding the Fourth Proportional to 201,345.40, 277,857.15 and 110,710.60

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Solution

The fourth proportional to 201,345.40, 277,857.15 and 110,710.60 is: 152,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,345.40 : 277,857.15 = 110,710.60 : x
  2. Step 2: Convert to fraction form
    201,345.40/277,857.15 = 110,710.60/x
  3. Step 3: Cross multiply
    201,345.40x = 277,857.15 × 110,710.60
  4. Step 4: Simplify right side
    201,345.40x = 30,761,731,790.79
  5. Step 5: Solve for x
    x = 30,761,731,790.79/201,345.40
  6. Step 6: Final answer
    x = 152,780.90

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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.