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Finding the Fourth Proportional to 147,798.40, 221,654.40 and 53,017.60

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Solution

The fourth proportional to 147,798.40, 221,654.40 and 53,017.60 is: 79,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,798.40 : 221,654.40 = 53,017.60 : x
  2. Step 2: Convert to fraction form
    147,798.40/221,654.40 = 53,017.60/x
  3. Step 3: Cross multiply
    147,798.40x = 221,654.40 × 53,017.60
  4. Step 4: Simplify right side
    147,798.40x = 11,751,584,317.44
  5. Step 5: Solve for x
    x = 11,751,584,317.44/147,798.40
  6. Step 6: Final answer
    x = 79,510.90

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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.