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Finding the Fourth Proportional to 227,495.99, 341,284.19 and 77,701.28

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Solution

The fourth proportional to 227,495.99, 341,284.19 and 77,701.28 is: 116,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,495.99 : 341,284.19 = 77,701.28 : x
  2. Step 2: Convert to fraction form
    227,495.99/341,284.19 = 77,701.28/x
  3. Step 3: Cross multiply
    227,495.99x = 341,284.19 × 77,701.28
  4. Step 4: Simplify right side
    227,495.99x = 26,518,216,311.84
  5. Step 5: Solve for x
    x = 26,518,216,311.84/227,495.99
  6. Step 6: Final answer
    x = 116,565.64

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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.