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Finding the Fourth Proportional to 153,657, 212,046.66 and 83,001

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Solution

The fourth proportional to 153,657, 212,046.66 and 83,001 is: 114,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,657 : 212,046.66 = 83,001 : x
  2. Step 2: Convert to fraction form
    153,657/212,046.66 = 83,001/x
  3. Step 3: Cross multiply
    153,657x = 212,046.66 × 83,001
  4. Step 4: Simplify right side
    153,657x = 17,600,084,826.66
  5. Step 5: Solve for x
    x = 17,600,084,826.66/153,657
  6. Step 6: Final answer
    x = 114,541.38

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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.