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Finding the Fourth Proportional to 147,648.80, 221,444.40 and 47,784.80

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Solution

The fourth proportional to 147,648.80, 221,444.40 and 47,784.80 is: 71,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,648.80 : 221,444.40 = 47,784.80 : x
  2. Step 2: Convert to fraction form
    147,648.80/221,444.40 = 47,784.80/x
  3. Step 3: Cross multiply
    147,648.80x = 221,444.40 × 47,784.80
  4. Step 4: Simplify right side
    147,648.80x = 10,581,676,365.12
  5. Step 5: Solve for x
    x = 10,581,676,365.12/147,648.80
  6. Step 6: Final answer
    x = 71,667.88

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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.