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Finding the Fourth Proportional to 148,270.40, 222,405.60 and 65,164.40

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Solution

The fourth proportional to 148,270.40, 222,405.60 and 65,164.40 is: 97,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,270.40 : 222,405.60 = 65,164.40 : x
  2. Step 2: Convert to fraction form
    148,270.40/222,405.60 = 65,164.40/x
  3. Step 3: Cross multiply
    148,270.40x = 222,405.60 × 65,164.40
  4. Step 4: Simplify right side
    148,270.40x = 14,492,927,480.64
  5. Step 5: Solve for x
    x = 14,492,927,480.64/148,270.40
  6. Step 6: Final answer
    x = 97,746.60

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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.