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Finding the Fourth Proportional to 315,752.05, 435,732.74 and 172,509.02

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Solution

The fourth proportional to 315,752.05, 435,732.74 and 172,509.02 is: 238,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,752.05 : 435,732.74 = 172,509.02 : x
  2. Step 2: Convert to fraction form
    315,752.05/435,732.74 = 172,509.02/x
  3. Step 3: Cross multiply
    315,752.05x = 435,732.74 × 172,509.02
  4. Step 4: Simplify right side
    315,752.05x = 75,167,827,959.31
  5. Step 5: Solve for x
    x = 75,167,827,959.31/315,752.05
  6. Step 6: Final answer
    x = 238,059.67

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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.