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Finding the Fourth Proportional to 148,403.56, 204,802.14 and 84,740.20

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Solution

The fourth proportional to 148,403.56, 204,802.14 and 84,740.20 is: 116,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,403.56 : 204,802.14 = 84,740.20 : x
  2. Step 2: Convert to fraction form
    148,403.56/204,802.14 = 84,740.20/x
  3. Step 3: Cross multiply
    148,403.56x = 204,802.14 × 84,740.20
  4. Step 4: Simplify right side
    148,403.56x = 17,354,974,304.03
  5. Step 5: Solve for x
    x = 17,354,974,304.03/148,403.56
  6. Step 6: Final answer
    x = 116,944.46

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1.5x scale

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.