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Finding the Fourth Proportional to 172,421.60, 258,632.40 and 83,848.10

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Solution

The fourth proportional to 172,421.60, 258,632.40 and 83,848.10 is: 125,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,421.60 : 258,632.40 = 83,848.10 : x
  2. Step 2: Convert to fraction form
    172,421.60/258,632.40 = 83,848.10/x
  3. Step 3: Cross multiply
    172,421.60x = 258,632.40 × 83,848.10
  4. Step 4: Simplify right side
    172,421.60x = 21,685,835,338.44
  5. Step 5: Solve for x
    x = 21,685,835,338.44/172,421.60
  6. Step 6: Final answer
    x = 125,772.15

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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.