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Finding the Fourth Proportional to 185,353.16, 277,814.64 and 85,303.28

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Solution

The fourth proportional to 185,353.16, 277,814.64 and 85,303.28 is: 127,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,353.16 : 277,814.64 = 85,303.28 : x
  2. Step 2: Convert to fraction form
    185,353.16/277,814.64 = 85,303.28/x
  3. Step 3: Cross multiply
    185,353.16x = 277,814.64 × 85,303.28
  4. Step 4: Simplify right side
    185,353.16x = 23,698,500,024.02
  5. Step 5: Solve for x
    x = 23,698,500,024.02/185,353.16
  6. Step 6: Final answer
    x = 127,855.93

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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.