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Finding the Fourth Proportional to 153,669, 212,063.26 and 83,013

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Solution

The fourth proportional to 153,669, 212,063.26 and 83,013 is: 114,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,669 : 212,063.26 = 83,013 : x
  2. Step 2: Convert to fraction form
    153,669/212,063.26 = 83,013/x
  3. Step 3: Cross multiply
    153,669x = 212,063.26 × 83,013
  4. Step 4: Simplify right side
    153,669x = 17,604,007,402.38
  5. Step 5: Solve for x
    x = 17,604,007,402.38/153,669
  6. Step 6: Final answer
    x = 114,557.96

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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.