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Finding the Fourth Proportional to 114,466.40, 171,699.60 and 52,258.40

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Solution

The fourth proportional to 114,466.40, 171,699.60 and 52,258.40 is: 78,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,466.40 : 171,699.60 = 52,258.40 : x
  2. Step 2: Convert to fraction form
    114,466.40/171,699.60 = 52,258.40/x
  3. Step 3: Cross multiply
    114,466.40x = 171,699.60 × 52,258.40
  4. Step 4: Simplify right side
    114,466.40x = 8,972,746,376.64
  5. Step 5: Solve for x
    x = 8,972,746,376.64/114,466.40
  6. Step 6: Final answer
    x = 78,387.60

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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.