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Finding the Fourth Proportional to 153,769.44, 212,209.20 and 86,700

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Solution

The fourth proportional to 153,769.44, 212,209.20 and 86,700 is: 119,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,769.44 : 212,209.20 = 86,700 : x
  2. Step 2: Convert to fraction form
    153,769.44/212,209.20 = 86,700/x
  3. Step 3: Cross multiply
    153,769.44x = 212,209.20 × 86,700
  4. Step 4: Simplify right side
    153,769.44x = 18,398,537,640
  5. Step 5: Solve for x
    x = 18,398,537,640/153,769.44
  6. Step 6: Final answer
    x = 119,650.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.