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Finding the Fourth Proportional to 98,438.40, 147,657.60 and 45,853.20

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Solution

The fourth proportional to 98,438.40, 147,657.60 and 45,853.20 is: 68,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,438.40 : 147,657.60 = 45,853.20 : x
  2. Step 2: Convert to fraction form
    98,438.40/147,657.60 = 45,853.20/x
  3. Step 3: Cross multiply
    98,438.40x = 147,657.60 × 45,853.20
  4. Step 4: Simplify right side
    98,438.40x = 6,770,573,464.32
  5. Step 5: Solve for x
    x = 6,770,573,464.32/98,438.40
  6. Step 6: Final answer
    x = 68,779.80

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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.