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Finding the Fourth Proportional to 227,588.94, 341,383.68 and 77,830.74

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Solution

The fourth proportional to 227,588.94, 341,383.68 and 77,830.74 is: 116,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,588.94 : 341,383.68 = 77,830.74 : x
  2. Step 2: Convert to fraction form
    227,588.94/341,383.68 = 77,830.74/x
  3. Step 3: Cross multiply
    227,588.94x = 341,383.68 × 77,830.74
  4. Step 4: Simplify right side
    227,588.94x = 26,570,144,438.32
  5. Step 5: Solve for x
    x = 26,570,144,438.32/227,588.94
  6. Step 6: Final answer
    x = 116,746.20

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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.