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Finding the Fourth Proportional to 185,357.16, 277,820.64 and 85,307.28

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Solution

The fourth proportional to 185,357.16, 277,820.64 and 85,307.28 is: 127,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,357.16 : 277,820.64 = 85,307.28 : x
  2. Step 2: Convert to fraction form
    185,357.16/277,820.64 = 85,307.28/x
  3. Step 3: Cross multiply
    185,357.16x = 277,820.64 × 85,307.28
  4. Step 4: Simplify right side
    185,357.16x = 23,700,123,126.26
  5. Step 5: Solve for x
    x = 23,700,123,126.26/185,357.16
  6. Step 6: Final answer
    x = 127,861.92

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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.