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Finding the Fourth Proportional to 153,687, 212,094.54 and 86,619

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Solution

The fourth proportional to 153,687, 212,094.54 and 86,619 is: 119,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,687 : 212,094.54 = 86,619 : x
  2. Step 2: Convert to fraction form
    153,687/212,094.54 = 86,619/x
  3. Step 3: Cross multiply
    153,687x = 212,094.54 × 86,619
  4. Step 4: Simplify right side
    153,687x = 18,371,416,960.26
  5. Step 5: Solve for x
    x = 18,371,416,960.26/153,687
  6. Step 6: Final answer
    x = 119,537.87

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Why These Related Problems?

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