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Finding the Fourth Proportional to 338,129.40, 506,999.70 and 101,436.60

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Solution

The fourth proportional to 338,129.40, 506,999.70 and 101,436.60 is: 152,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,129.40 : 506,999.70 = 101,436.60 : x
  2. Step 2: Convert to fraction form
    338,129.40/506,999.70 = 101,436.60/x
  3. Step 3: Cross multiply
    338,129.40x = 506,999.70 × 101,436.60
  4. Step 4: Simplify right side
    338,129.40x = 51,428,325,769.02
  5. Step 5: Solve for x
    x = 51,428,325,769.02/338,129.40
  6. Step 6: Final answer
    x = 152,096.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.