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Finding the Fourth Proportional to 213,114.42, 319,671.54 and 63,354.06

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Solution

The fourth proportional to 213,114.42, 319,671.54 and 63,354.06 is: 95,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,114.42 : 319,671.54 = 63,354.06 : x
  2. Step 2: Convert to fraction form
    213,114.42/319,671.54 = 63,354.06/x
  3. Step 3: Cross multiply
    213,114.42x = 319,671.54 × 63,354.06
  4. Step 4: Simplify right side
    213,114.42x = 20,252,489,925.45
  5. Step 5: Solve for x
    x = 20,252,489,925.45/213,114.42
  6. Step 6: Final answer
    x = 95,031.06

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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.