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Finding the Fourth Proportional to 147,668.97, 221,492.75 and 57,694.77

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Solution

The fourth proportional to 147,668.97, 221,492.75 and 57,694.77 is: 86,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,668.97 : 221,492.75 = 57,694.77 : x
  2. Step 2: Convert to fraction form
    147,668.97/221,492.75 = 57,694.77/x
  3. Step 3: Cross multiply
    147,668.97x = 221,492.75 × 57,694.77
  4. Step 4: Simplify right side
    147,668.97x = 12,778,973,154.77
  5. Step 5: Solve for x
    x = 12,778,973,154.77/147,668.97
  6. Step 6: Final answer
    x = 86,537.97

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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.