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Finding the Fourth Proportional to 301,901.52, 416,615.29 and 172,835.72

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Solution

The fourth proportional to 301,901.52, 416,615.29 and 172,835.72 is: 238,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,901.52 : 416,615.29 = 172,835.72 : x
  2. Step 2: Convert to fraction form
    301,901.52/416,615.29 = 172,835.72/x
  3. Step 3: Cross multiply
    301,901.52x = 416,615.29 × 172,835.72
  4. Step 4: Simplify right side
    301,901.52x = 72,006,001,094.99
  5. Step 5: Solve for x
    x = 72,006,001,094.99/301,901.52
  6. Step 6: Final answer
    x = 238,508.24

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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.