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Finding the Fourth Proportional to 102,954.90, 153,747.18 and 101,841.60

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Solution

The fourth proportional to 102,954.90, 153,747.18 and 101,841.60 is: 152,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,954.90 : 153,747.18 = 101,841.60 : x
  2. Step 2: Convert to fraction form
    102,954.90/153,747.18 = 101,841.60/x
  3. Step 3: Cross multiply
    102,954.90x = 153,747.18 × 101,841.60
  4. Step 4: Simplify right side
    102,954.90x = 15,657,858,806.69
  5. Step 5: Solve for x
    x = 15,657,858,806.69/102,954.90
  6. Step 6: Final answer
    x = 152,084.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.