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Finding the Fourth Proportional to 315,333.75, 435,169.80 and 172,102.98

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Solution

The fourth proportional to 315,333.75, 435,169.80 and 172,102.98 is: 237,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,333.75 : 435,169.80 = 172,102.98 : x
  2. Step 2: Convert to fraction form
    315,333.75/435,169.80 = 172,102.98/x
  3. Step 3: Cross multiply
    315,333.75x = 435,169.80 × 172,102.98
  4. Step 4: Simplify right side
    315,333.75x = 74,894,019,386.00
  5. Step 5: Solve for x
    x = 74,894,019,386.00/315,333.75
  6. Step 6: Final answer
    x = 237,507.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.