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Finding the Fourth Proportional to 172,002.90, 258,004.35 and 83,429.40

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Solution

The fourth proportional to 172,002.90, 258,004.35 and 83,429.40 is: 125,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,002.90 : 258,004.35 = 83,429.40 : x
  2. Step 2: Convert to fraction form
    172,002.90/258,004.35 = 83,429.40/x
  3. Step 3: Cross multiply
    172,002.90x = 258,004.35 × 83,429.40
  4. Step 4: Simplify right side
    172,002.90x = 21,525,148,117.89
  5. Step 5: Solve for x
    x = 21,525,148,117.89/172,002.90
  6. Step 6: Final answer
    x = 125,144.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.