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Finding the Fourth Proportional to 147,782.40, 221,630.40 and 53,001.60

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Solution

The fourth proportional to 147,782.40, 221,630.40 and 53,001.60 is: 79,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782.40 : 221,630.40 = 53,001.60 : x
  2. Step 2: Convert to fraction form
    147,782.40/221,630.40 = 53,001.60/x
  3. Step 3: Cross multiply
    147,782.40x = 221,630.40 × 53,001.60
  4. Step 4: Simplify right side
    147,782.40x = 11,746,765,808.64
  5. Step 5: Solve for x
    x = 11,746,765,808.64/147,782.40
  6. Step 6: Final answer
    x = 79,486.91

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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.