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Finding the Fourth Proportional to 98,858.40, 148,633.20 and 96,784.80

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Solution

The fourth proportional to 98,858.40, 148,633.20 and 96,784.80 is: 145,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,858.40 : 148,633.20 = 96,784.80 : x
  2. Step 2: Convert to fraction form
    98,858.40/148,633.20 = 96,784.80/x
  3. Step 3: Cross multiply
    98,858.40x = 148,633.20 × 96,784.80
  4. Step 4: Simplify right side
    98,858.40x = 14,385,434,535.36
  5. Step 5: Solve for x
    x = 14,385,434,535.36/98,858.40
  6. Step 6: Final answer
    x = 145,515.55

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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.