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Finding the Fourth Proportional to 213,145.60, 319,718.40 and 102,553.60

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Solution

The fourth proportional to 213,145.60, 319,718.40 and 102,553.60 is: 153,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,145.60 : 319,718.40 = 102,553.60 : x
  2. Step 2: Convert to fraction form
    213,145.60/319,718.40 = 102,553.60/x
  3. Step 3: Cross multiply
    213,145.60x = 319,718.40 × 102,553.60
  4. Step 4: Simplify right side
    213,145.60x = 32,788,272,906.24
  5. Step 5: Solve for x
    x = 32,788,272,906.24/213,145.60
  6. Step 6: Final answer
    x = 153,830.40

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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.