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Finding the Fourth Proportional to 163,258.64, 244,870.68 and 52,442

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Solution

The fourth proportional to 163,258.64, 244,870.68 and 52,442 is: 78,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,258.64 : 244,870.68 = 52,442 : x
  2. Step 2: Convert to fraction form
    163,258.64/244,870.68 = 52,442/x
  3. Step 3: Cross multiply
    163,258.64x = 244,870.68 × 52,442
  4. Step 4: Simplify right side
    163,258.64x = 12,841,508,200.56
  5. Step 5: Solve for x
    x = 12,841,508,200.56/163,258.64
  6. Step 6: Final answer
    x = 78,657.45

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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.